find the domain of (x). express your answer in interval notation.

Find The Domain Of (x). Express Your Answer In Interval Notation.

Answers

Answer 1
[tex](g\circ f)(x)=\frac{1}{x}-\frac{4}{\sqrt[]{x}}[/tex]

so the domain is

[tex](0,\propto)[/tex]


Related Questions

a Is it possible to construct a triangle with lengths of 7, 54, and 45? EXPLAIN why or why not?

Answers

For a, b, and c to be the lengths of a triangle they must satisfy the following system of inequalities:

[tex]\begin{gathered} a+b>c, \\ a+c>b, \\ b+c>a\text{.} \end{gathered}[/tex]

Now, notice that:

[tex]\begin{gathered} 7+54>45, \\ 45+54>7,\text{ } \\ 45+7=52<54. \end{gathered}[/tex]

Since the given numbers do not satisfy the last inequality, then they cannot be the lengths of a triangle.

Answer: No it is not possible to construct a triangle with lengths 7, 54 and 45, because:

[tex]45+7<54.[/tex]

5/6x-2/3(x-2) + 1/2 please helppp

Answers

Answer:38

Step-by-step explanation:

The loudest sound measured one night during a hockey game was 112 dB. The loudest sound measured during a hockey game the next night was 118 dB. What fraction of sound intensity of the second game was the sound intensity of the first game?

Answers

Answer:

1/4

Step-by-step explanation:

I'm 95% sure that this is the answer. if im not correct, im sorry for wasting your time having to read all of this, and im sorry i couldnt help.

Find the least common denominator of

8/x²+11x+28
and
-2/x^2+4x

Answers

The least common denominator of 8/( x²+11x+28 ) and -2/ (x^2+4x) is (x+4).

We have to find the least common denominator of 8/x²+11x+28 and -2/x^2+4x. We can solve this problem by following a few steps.

The denominator of both terms is, x²+11x+28 and x²+4x.

First of all, we have to find the factors of these two terms.

Let's find the factors of x²+11x+28.

x²+11x+28 = x²+11x+28

Or, x²+11x+28 = x²+ 4x+ 7x+ 28        [ we have to break the middle term in such a way as the product of consecutive terms must be 28 ]

Or, x²+11x+28 = x (x+4) +7 (x-4)        [ we have to take ( x+ 4) as acommon ]    

Or, x²+11x+28 = ( x+4 )( x+7 ).................(1)

Now find the factors of x²+4x.

x²+4x = x (x+4)..................(2)          [ We have to take x as a common ]

Therefore, the common term between (1) and (2) is ( x+4 ). So, the least common denominator is ( x+4 ).

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A grocery store sells a bag of 3 oranges for $2.16. What is the cost of oranges, in dollars per orange?​

Answers

Answer:

0.72

Step-by-step explanation:

The answer is that because all you have to do is just 2.16 divided by 3. Equalling to 0.72. Now we just have to do 0.72 + 0.72 + 0.72 and that would equal $2.16.

plss mark me as a brainlist plss

Solve the following system of equations using elimination. 2x + 5y = 12 -2x + 3y = 4

Answers

[tex]\begin{gathered} 2x+5y=12 \\ -2x+3y=4 \end{gathered}[/tex]

To solve a system of equation using elimination:

1. If it is necesary multyiply one of both equations for a number that makes each equation have an opposite term to the other equation.

In this case the equations already have opposite terms (2x and -2x)

2. Add equations:

3. Solve the variable in the result of substraction:

[tex]\begin{gathered} 8y=16 \\ y=\frac{16}{8} \\ \\ y=2 \end{gathered}[/tex]

4. Use the value of the variable you get in the previus step to solve the other variable:

[tex]\begin{gathered} 2x+5y=12 \\ y=2 \\ \\ 2x+5(2)=12 \\ 2x+10=12 \\ 2x=12-10 \\ 2x=2 \\ x=\frac{2}{2} \\ \\ x=1 \end{gathered}[/tex]Then, the solution for the system of equations is x=1 and y=2

2. (04.01) Which point could be removed in order to make the relation a function? (4 points) {(-9, -8), (-8, 4), (0, -2), (4,8), (0, 8), (1, 2)} (4,8) (0,8) (-9, -8) (1, 2)

Answers

Answer:

(0,8)

Step-by-step explanation:

What is needed in order to be a function?

A value of x cannot have more than one value of y. In this question, we have that for x = 0, there are 2 values of y: -2 and 8. So one of those can be removed.

Among the options, we have: (0,8), which is the correct answer

A right isosceles triangle has an area of 40.5 cm2. How tall is it?

Answers

Area = 40 cm^2

base = ?

height = x

Area = base * height / 2

bh = 2(40.5)

bh = 81 cm^2

81 3

27 3

9 3

3 3 height = 3 x3 x 3 base = 3

1

The height must be 27 cm and the base 3 cm.

Solve the equation _(4t+_) =6t+15

Answers

The given expression is : _( 4t + _ ) = 6t + 15

In the 6t + 15,

What is the answer with a posible fraction remainder3.8/21.85

Answers

The solution with a potential fraction remainder for the given fraction, 3.8/21.85, is 0.

How to find the remainder?

By shifting the decimal point 1 places to the right, you can convert the divisor 3.8 to a whole number. Then, move the decimal point in the dividend by one place to the right, keeping the same position.

what do you understand by remainder ?

The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). The remaining is the name for this amount.

These equations follow:

218.5 ÷ 38 = 5.750

because of this:

21.85 ÷ 3.8 = 5.750

To three decimal places, both calculations.

0 0 5. 7 5 0

3 8 √2 1 8. 5 0 0

     − 0          

      2 1        

     −   0

     2 1 8      

   − 1 9 0      

      2 8 5    

   − 2 6 6    

       1 9 0  

    − 1 9 0  

       0 0

     −   0

          0

The answer is 0.

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What is the value of this expression: (−2)3 x 30 x (−4)−2


0

-3/2

-3/4


-1/2


3/2


3/4


1/2

Answers

The given expression (−2)3 x 30 x (−4)(−20) will have the value as -14400

In the above question, the following mathematical expression is given :

(−2)3 x 30 x (−4)(−20)

We need to find the value of the given expression by solving it using the BODMAS rule

According to the rule, first we'll solve the multiplication then subtraction

Therefore, we get

(−2)3 x 30 x (−4)(−20)

(-6) x 30 x (-)(-)80

We know, that (-) x (-) = +

and (-) x (+) = (-)

Therefore, we get

(-6) x 30 x (-)(-)80

(-6) x 30 x 80

-6 x 2400

- 14400

Hence, the given expression (−2)3 x 30 x (−4)(−20) will have the value as -14400

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Box A weighs 212.04 kilograms. Box B weighs 212 1/4 kilograms Which statement is true?A) the box weigh the same amountB) Box B weighs 0.10 of a kilogram more than Box AC) Box A weighs 0.15 of a kilogram more than box BD) Vox b weighs 0.21 of a kilogram more than Box A

Answers

To be able to compare the weight of the boxes, we need to have their weight in decimal form:

Box A --> 212.04 kilograms

Box B --> 212 1/4 kilograms

Convert 212 1/4 to decimal:

[tex]\begin{gathered} \text{SINCE }\frac{1}{4}=0.25 \\ 212\frac{1}{4}=212.25 \end{gathered}[/tex]

Box B --> 212.25

We can see that the weight of box B is more than the weight of box A, so we discard options A and C.

To find how much more is the weight of box B, we subtract the quantities:

[tex]212.25-212.04=0.21[/tex]

Answer: Box B weighs 0.21 of a kilogram more than box A

Choose the correct ordering of the numbers below from greatest to least.L. 779.56M. 29.7023N. 7.8695O. 0.8436P. 70.7540

Answers

When you order a number, you must check the number most in the left. The number L and the number M for example,

L. 779.56

M. 029.7023

In the hundreds place, L has a '7', and M has a '0', this means L is bigger than M.

Doing the same procedure with the other, we get the following order:

[tex]\begin{gathered} 779.56>70.7540>29.7023>7.8695>0.8436 \\ L>P>M>N>O \end{gathered}[/tex]

Complete Complete the following tick -tac-toe board to find the three in a row there is only one correct way to make the tick-tac-toe, three in row! The code to unlock the puzzle will be the product of the three the following three puzzle Tic tac toe

Answers

Somebody said Complete the following tick-tac-toe board to find the three in a row - there is only one correct way to make the tick-tac-toe, three in rowl The code to unlock the puzzle will be the product of the three correct exponents: g10 (m2) y4.y5 g2 X: m12 X: yº X: 95 0: y20 0: gº O: m8 h-2 (m2)4.m5 jjjj X: 4j 0:j4 h-6 X: h4 O: h X: m11 0: m13 (b4)5 b2. b3 p3 = p X: p1.5 X: 515 O: 64 (k2)6 k7.k-5 X: k10 O: k6 0:p Code:

MapsQuestion 120 ptsIf a recipe calls for 58 ounces of pecans andthere are 16 ounces in 2 cups, how many pecanswill you need?

Answers

the recipe needed = 58 ounces of pecans

we have 16 ounces in 2 cups,

so we need

58 - 16 = 42 ounces

so we need 42 ounces of pecans.

2 The model shown below is a composite of tworectangular prisms.What is the volume of the model in cubic units?F 640 H 960G 512 J 1,280

Answers

Answer

Volume of the prism = 960 cubic units

Explanaion:

Step 1: Divide the two prism

Volume of a rectangular prism is

l x w x h

Where l = length, w= width, and h = height

The volume = full prism - cut prism

Full prism = 16 * 10 * 8

Full prism = 1280 cubic units

Cut prism = 8 * 10 * 4

Cut prism = 320 cubic units

Volume = 1280 - 320

Volume = 960 cubic units

What must x equal if a ∥ b? Explain.

Answers

The value of x should be equal to 23

Given

Angle at the top is 86

also equation 3x + 17

The lines are parallel

We know if a transverse line is drawn across two parallel lines then 3 types of angles would form namely Corresponding angle, alternate angle, Opposite angle.

From the geometry  the angle 86 and the equations 3x + 17 are alternative angles.

Since alternative angles are equal 86 will be equal to 3x + 17

Now equating both

86 = 3x + 17

86 - 17 = 3x

69 = 3x

x = 23

Hence the value of x is equal to 23

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Answer: x=23

Step-by-step explanation:

Im not going to bore you with long algebra but basically 86-17=3x

69=3x inverse you get 23

Put the correct number in each box 1/7 = 4/? = ?/56

Answers

Answer: 1/7 = 4/28 = 8/56

Step-by-step explanation: 7 timestables

Answer:

1/7=4/28=8/56

Step-by-step explanation:

From the pattern of the question we can see that the numerator of the second fraction is 4 and the previous fraction's numerator is 1 that means the fraction has been multiplied by 4. Therefore multiplying the numerator and denominator results in the answer 4/28. For the last fraction we can see that the denominator is 56 and is the double of 28 therefore doubling the whole second fraction we get our answer as 8/56. Overall equating all the three fractions we get the same answer 1/7 after minimizing the fraction.

Username: TNakashrai

The pentagons ABCDE and PQRST are similar.
Find the length x of TP.

Answers

Answer:x=3

Step-by-step explanation: if they are similar lets say for instance BD is congruent to QS.

so TP is congruent to AE and AE is three so TP has to be three.

hope this helps!

Aisha is trying to determine if △LMN and △PQR are similar, congruent, or neither using the information in the diagram.

Triangles L M N and P Q R are shown. The length of side L M is 11 and the length of P Q is 22. The length of M N is 7 and the length of Q R is 12. The length of N L is 6 and the length of R P is 12.

Which statement is true?

Answers

The statement that is true about the triangle is that D. The triangles are similar by the SSS similarity theorem.

How to illustrate the information?

It should be noted that congruence simply refers to a scenario where there are the same triangles.

The SSS Similarity Theorem states that two triangles are similar if all three pairs of matching sides are proportionate.

Compare the shortest sides first, followed by the longest sides, when applying the SSS Similarity Theorem. Two triangles are similar if their corresponding side lengths are proportionate to one another.

Therefore, triangle LMN and PQR are the same.

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The triangles are not similar, but they are congruent.

The triangles are neither similar nor congruent.

The triangles are similar by the SAS similarity theorem.

The triangles are similar by the SSS similarity theorem.

Answer:

d) The triangles are similar by the SSS similarity theorem.

Hello! Vectors u and v are shown in the graph. What is -3(u x v)?

Answers

Explanation

The values of the vectors are shown below

Thus

[tex]\begin{gathered} u=(6,5) \\ v=(-6,-10) \end{gathered}[/tex]

Thus to get -3(u.v) will be

[tex]\begin{gathered} step\text{ 1} \\ find\text{ the dot product} \\ u.v=6(-6)+5(-10) \\ u.v=-36-50 \\ u.v=-86 \end{gathered}[/tex]

The next step will be

[tex]\begin{gathered} -3(u.v)=-3\times-86=258 \\ \\ -3(u.v)=258 \end{gathered}[/tex]

The answer will be

Ellie wants to save her weekly allowance to go to Disneyland, In 3
weeks she has $40. In 7 weeks, she has $60. Let x represent the
number of weeks and let y represent the total amount saved. Write
an equation in slope intercept form that represents this situation

Answers

The equation in slope-intercept form that represents the situation is y = 5x + 25.

In 3 weeks Ellie she saved $40 and $60 in 7 weeks.

Let x and y represent the number of weeks and the total amount saved respectively.

The equation of a line in slope intercept form is given as:

y = mx + b where m is the slope and b is the y-intercept.

Now when x = 3, y = $40.

Therefore,

y = mx + b

40 = 3m + b                                                                                 --------------(1)

When x = 7, y = $60

y = mx + b

60 = 7m + b                                                                                 -------------(2)

Subtracting (1) from (2),

7m + b - 3m - b = 60 - 40

4m = 20

m = 5

So,

3m + b = 40

3(5) + b = 40

15 + b = 40

b = 25

Hence, the equation of the line in slope intercept form is y = 5x + 25.

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What is the range shown in the graph below ?

Answers

Take into account that the range are all availables values of the function, that is, available values of the y coordinate in the graph.

As you can notice, such values are in the following interval:

range: (-∞,8]

please help me solve. I have 81 for blank 1 and 9 for blank 2. it is incorrect

Answers

[tex]\sqrt[]{3\text{ }}\text{ x }\sqrt[]{27}[/tex]

We can further simplify

[tex]\sqrt[]{27}[/tex]

[tex]\begin{gathered} \sqrt[]{27}\text{ = }\sqrt[]{3\text{ x 9}} \\ \sqrt[]{27}\text{ = }\sqrt[]{3}\text{ x }\sqrt[]{9} \end{gathered}[/tex]

[tex]\begin{gathered} \sqrt[]{27}\text{ = }\sqrt[]{3}\text{ x 3 = 3 x }\sqrt[]{3} \\ \sqrt[]{27}\text{ = 3 }\sqrt[]{3} \end{gathered}[/tex][tex]\sqrt[]{3}\text{ x }\sqrt[]{27\text{ }}\text{ = }\sqrt[]{3}\text{ x 3}\sqrt[]{3}[/tex]

The answers for the blank spaces are

[tex]\sqrt[]{3}\text{ and 3}\sqrt[]{3}[/tex]

Evaluate the polynomial function for the given values of the variable

Answers

ANSWERS

• P(2) = 11

,

• P(-1) = 14

,

• P(0) = 7

EXPLANATION

Every time we have to evaluate a function, what we have to do is replace the variable with the value and solve the operations.

Let's solve P(2),

[tex]P(2)=3(2)^2-4(2)+7[/tex]

Solve the powers first,

[tex]P(2)=3\cdot4-4\cdot2+7[/tex]

Then the products,

[tex]P(2)=12-8+7[/tex]

And then the additions/subtractions,

[tex]P(2)=11[/tex]

The process is the same for the other two values,

[tex]P(-1)=3(-1)^2-4(-1)+7=3\cdot1-4(-1)+7=3+4+7=14[/tex]

And,

[tex]P(0)=3(0)^2-4(0)+7=3\cdot0-4\cdot0+7=0+0+7=7[/tex]

Hence, P(2) = 11, P(-1) = 14 and P(0) = 7.

Use the diagram to answer the question. 15 ft 120 ft2 10 ft A rectangular yard contains a 120-square-foot garden. If seeds are scattered uniformly over the yard, what is the probability that a seed lands in the garden?

Answers

area of the rectangle

[tex]\begin{gathered} \text{area}=\text{length}\times width \\ \text{area}=15\times10=150 \end{gathered}[/tex]

area of rectangle is 150 sq ft, therefore the probability that a seed lands in the garden is

[tex]\frac{area\text{ garden}}{area\text{ rectangle}}=\frac{120}{150}=\frac{4}{5}[/tex]

answer: 4/5

Koharu pie dough recipe uses 6 oz of flour, 4 oz of butter, and 2 oz of water. Complete the sentences to describe the ratios in her recipe. The ratio of ____ to ____ is 3:2

Answers

Answer:

The ratio of flour to butter is 3:2

Step-by-step explanation:

:]

Please help me with this question

Answers

Answer:

The cost of a card is 4 dollars

The cost of a baseball is 18 dollars

Step-by-step explanation:

13c + 9b = 214

 3c + 8b = 156

(13c + 9b = 214) × -8

( 3c + 8b = 156) × 9

-104c - 72b = -1712

  27c + 72b = 1404

-------------------------------

-77c = -308

÷-77      ÷-77

--------------------

c = 4

3c + 8b = 156

3(4) + 8b = 156

12 + 8b = 156

-12             -12

----------------------

8b = 144

÷8     ÷8

------------------

b = 18

I hope this helps!

An automobile travels 415 miles on 16 2/3 gallons of gasoline.

a) How many miles per gallon does the car get on the trip? (Enter your answer as a simplified mixed number.)


b) How many gallons would be required for the car to travel 498 miles?

Answers

A. 24.9 mpg
B. 20 gallons

The result obtained from measuring length is called​ a/an __________ measurement and is stated in​ __________ units.

Answers

The result obtained from measuring length is called a linear measurement and is stated in linear units.

The linear measurement is the distance between the two objects or points. The linear measurement is a single dimension measurement

The unit of the measurement of the length is called linear units. In US system of measurements the linear units are feet, yard and inch etc..,In metric system the linear units are meter, centimeter, decimeter etc..

Therefore the result obtained from measuring length is called a linear measurement and is stated in linear units.

Hence, the result obtained from measuring length is called a linear measurement and is stated in linear units.

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