f(x) = 732
g(x) = 3x + 2
Find
(1) (a). Include any restrictions on the domain.
, 3 > 0
OA () (x) = 0 + 0
B. (4) (z) = 2, 3
c. (4) (x) = x +
OD. () () + -1

F(x) = 732g(x) = 3x + 2Find(1) (a). Include Any Restrictions On The Domain., 3 > 0OA () (x) = 0 +

Answers

Answer 1

Answer:

Option D

Step-by-step explanation:

Given:

[tex]f(x) = \sqrt[3]{3x}[/tex][tex]g(x)=3x+2[/tex]

Find (f/g)(x):

[tex](f/g)(x)=f(x)/g(x)=\sqrt[3]{3x}/(3x+2)[/tex]

The restriction is, the denominator can't be zero:

3x + 2 ≠ 0 ⇒ 3x ≠ -2 ⇒ x ≠ -2/3

Correct choice is D


Related Questions

if the equation is x²+y²-12x-10y=-12 what is the center and radius of the equation and give the graph

Answers

Answer:

center (6;5); R=7

Step-by-step explanation:

Step-by-step explanation: Subtract    

12  from both sides of the equation. x 2 − 12 x + y 2 + 10 y = − 12 , Complete the square for  x 2 − 12 x .

(x^2 + kx + 10) ÷ (x - 1) has a remainder of 4.
I have no idea how to do this, I've tried Synthetic division, remainder theorem etc. and cant figure it out.

Answers

9514 1404 393

Answer:

  k = -7

Step-by-step explanation:

Attached are both synthetic division and remainder theorem solutions. Either way, you find the remainder is k+11, which you want to have a value of 4.

  k +11 = 4

  k = -7 . . . . . subtract 11 from both sides

_____

The second attachment shows the long division that validates this result.

what is the length of the diagonal of the rectangle?

Answers

Answer:

C

Step-by-step explanation:

i just added

What transformations take place by graphing the function below in respect to its parent function? Check all that apply.

Answers

Answer:

- Vertical Stretch

-Left 7 Units

-Up 2 units

Step-by-step explanation:

Because the formula is being multiplied by a number larger than 1, it is being vertically stretched. In this problem, it is being vertically stretched by a factor of 3/2.

When X is being added to in the parenthesis, it causes the graph to shift to the left. Since the equation has (X+7), the graph shifts left by 7 units.

When a number is added to the equation, it causes the graph to shift upwards. In this example, 2 is being added, therefore, the graph shifts upwards by 2 units.

That means there is a vertical stretch by a factor of 3/2, a horizontal translation left 7 units, and a vertical translation up 2 units

What is the perimeter of a square with 4 inch sides

Answers

Answer:

16 units

Step-by-step explanation:

We know a square is 4 sides, and perimeter is the sum of all sides.

4 + 4 + 4 + 4 = 16 units

we can do this in a more efficient way with:

4 x 4 =16 units

When you add all of them up it’s 16 units

Can you guys show me where they went wrongg

Answers

9514 1404 393

Answer:

  43.70 ft

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides. The correct computation is ...

  Hypotenuse is √(7² +7²) = √(49 +49) = √98 = 7√2

  Perimeter of pentagon is ...

     7 +7√2 +7√2 +7√2 +7 =

     7 +21√2 +7 =

     14 +21√2 ≈ 14 +29.70 =

     Perimeter is approximately 43.70 ft.

__

There are two errors:

side lengths were used instead of their squares to find the hypotenusecontents of radicals were added, rather than coefficients of them

Both errors are easy to find if you know what the computation is supposed to look like.

The Pythagorean theorem involves a sum of squares.

Alice got these scores in her exam English 45 out of 50. music 45%. art 25 out of 40. maths 85% which subject did Alice get her highest and lowest scores in .​

Answers

Answer:

English: 45/50 = 0.9 = 90%

Music: 45%

Art: 25/40 = 0.625 = about 63% (if you round up)

Math: 85%

As you can see: English - highest | Music - lowest

Alice got her highest score in Maths, and her lowest score in Music.

To find out which subject Alice got her highest and lowest scores in, let's compare the scores in each subject.

English: 45 out of 50 = 45/50 = 0.9 (90%)

Music: 45 % = 45/100 = 0.45

Art: 25 out of 40 = 25/40 = 0.625 (62.5%)

Maths: 85 % = 85/100 = 0.85

Now, we can see that the highest score is in Maths (85%) and the lowest score is in Music (45%).

So, Alice got her highest score in Maths, and her lowest score in Music.

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Isn't 3 1/2 instead of three and Caleb wrote 1/4 of the song?

Answers

Answer:

Need a bit more context

Step-by-step explanation:

1. What is the difference between these two expressions
(5+3)*3
(5+3)*9

Answers

Answer:

The difference is one number is larger than the other.

Step-by-step explanation:

we are doing BOMDAS

so (5+3)*3

we start with the bracket first since we are dealing with BOMDAS

(5+3)*3 = 8*3

then we multiply the 8*3 which equals to 24

(5+3)*9

we start with the bracket first (5+3) equals to 8 and then we multiply the 8 by the 9 and the answer is 72

(5+3)*9

(5+3)= 8*9

= 72

between 24 and 72 the difference is 72 is larger

What is the area of 4 inches and 1 inches

Answers

4 because 4x1 is 4 so the answer is 4 inches

Samuel runs around a 100-meter track. He uses the linear equation y= 200 + 5x to describe how far he runs after he has already Jogged two laps. Which of the following best describes the slope of the linear equation?​

Answers

Answer:

Samuel runs 5 meters per second

Step-by-step explanation:

8. A submarine's elevation is -14.5 feet relative to sea level. A shark is
swimming at an elevation -56.8 feet. What is the difference in elevation
between the submarine and the shark?
a) 71.3 feet b) 56.8 feet c) 42.3 feet d) 14.5 feet

Answers

Answer:

C.)42.3

Step-by-step explanation:

If it's difficult to do subtraction with negatives, switch them to positive and subtract 14.5 from 56.8. In order to get a lesser negative number(negatives closer to -1 are greater), you have to add a positive number. My math teacher taught me this simple but effective method. This method is used for multiplication and division but it helps:

(Hate=Negative and Love=Positive)

If you hate to hate, you love.(neg. x neg=pos.)

If you hate to love, you hate(neg. x pos.=neg.)

If you love to love, you love(pos. x pos.=pos.)

If you love to hate, you hate(pos. x neg.=neg.)

c) 42.3 feet

Step-by-step explanation:

Is known :

A submarine's elevation is -14.5 feet relative to sea level. A shark isswimming at an elevation -56.8 feet.

Asked :

What is the difference in elevation between the submarine and the shark?.

Aswered :

A submarine's elevation is -14.5 feet relative to sea level - A shark isswimming at an elevation -56.8 feet

= (-14,5) - (-56,8)

= 42,3

Which expression is equivalent to −3(−56) Group of answer choices −157 156 −87 157

Answers

Answer:

D.15r7

Step-by-step explanation:

multiplying two negatives equals a positive: (-)x(-)=(+)

-3rx(-5r^6)

simplifing to

3rx5r^6

then combime like terms to get

15r7

There are 206 people who have signed up for cooking lessons. If there will be 8 people in each class, what is the least number of classes needed for all the students to be registered in a class

Answers

Answer:

26

Step-by-step explanation:

206÷ 8= 25.75 (remainder was 6)

that means 25 classes will be needed but since the are 6 students remaining 1 more class can be added makes 26 classes

Solve for x: 3- (2x-5)<-4(x+2)

Answers

Answer:

x < -8 orx ∈ ( - ∞, - 8)

Step-by-step explanation:

3 - (2x - 5) < - 4(x + 2)3 - 2x + 5 < -4x - 84x - 2x < - 8 - 82x < - 16x < - 8

or

x ∈ ( - ∞, - 8)

[tex]\\ \sf\longmapsto 3-(2x-5)<-4(x+2)[/tex]

[tex]\\ \sf\longmapsto 3-2x+5<-4x-8[/tex]

[tex]\\ \sf\longmapsto -2x+8<-4x-8[/tex]

[tex]\\ \sf\longmapsto 2x-8<4x+8[/tex]

[tex]\\ \sf\longmapsto 2x-4x<8+8[/tex]

[tex]\\ \sf\longmapsto -2x<16[/tex]

[tex]\\ \sf\longmapsto 2x<16[/tex]

[tex]\\ \sf\longmapsto x<-8[/tex]

can u answer this please?
thanks! ☺️

perform the indicated operations and simplify.

Answers

13. 1
14. 6
15. (t+1)
16. 1
17. 1/9
18. 2/b-3
19. k-16/30
20. 6m+6/m^2 - 6m

write the equation of the ellipse using the given information: the ellipse has foci (0,3) and (0,-3) and major vertices (0,5) and (0,-5).

Answers

Answer: (x^2)/16 + (y^2)/25 = 1

Step-by-step explanation:

According to the problem we can figure out that the center of the ellipse is (0,0).

Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.

If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2

We get b^2 is 16

Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.

Is it equal greater or less983.9 9.839

Answers

Answer:

what is the question ❓ i don't understand

keep in mind significant figures. 6.020*0.0510 (use a calculator)

Answers

Answer:

0.30702

Have a good day.

Answer:

0.030567

Step-by-step explanation:

carry on learning

I give briniest for the right answer if you don't know the answer don't answer it.

Answers

Answer:

yes, no because it's not a decimal with only one digit in front of the decimal mark, no because the decimal point is too far forward.

A:

i:

5.1 x 10^6

9.75 x 10^10

1.2 x 10^-7

5.008 x 10^-6

ii:

a. 3200000000000

b. 50700

c. 0.00056

d. 0.083

B:

3,2,4,1

1,2,3,4 -ik but it's what i got

1,3,4,2

C:

uranus, neptune, saturn, jupiter

answer choice B

D:

8 x 10^-5

9 x 10^6

3 x 10^-5

7 x 10^-5

5.5 x 10^5

3.2 x 10^5

8.2 x 10^5

7.3 x 10^-3

0.0000832

3120000

0.009

0.0085

8000000

0.05

0.067

57.5

Step-by-step explanation:

Find the equation for the vertical line that goes through point M(−2, 6).

Answers

Answer:

Step-by-step explanation:

Every possible value of y will have an x value of x = - 2 associated with it. For example (-2, 58) is also on this vertical line. A line with more than 1 y value associated with x means the line you get is not a function.

The equation you want is x = - 2

21 less than tree-fifths of a number

Answers

Answer:

[tex]\frac{3}{5}x - 21[/tex]

Step-by-step explanation

Three-fifths of a number means [tex]\frac{3}{5}x[/tex] and 21 less than that number means [tex]\frac{3}{5} x - 21[/tex].

brainly for the people who help me

Answers

Answer:

1 dollar

Step-by-step explanation:

If she started with 1 and add 43 she now has 44.  Once you add the 22 you get 66 which is what she has now.  

Which values from the set (-6,-4,-2,0,2,4,6) Satisfy this inequality? 3+1/2x>4

Answers

Answer:-6 and -4

Step-by-step explanation:

Simplify these expressions a) 5 x x b) 6 xxxy c) 2 x x x 3 xy​

Answers

The simplified forms of the expressions are;

a.5x²

b.6x³y

c.6x⁴y

What are index forms?

Index forms are described as mathematical forms that makes numbers or values in too small or too large forms appear in a more convenient manner.

Other names for index forms are standard forms and scientific notation.

These index forms are formed by taking the exponents of numbers or variables inside of their usually repetitive forms in an expression.

From the information given, we have that;

a. 5 x x

Since the variable appeared twice, it is represented as;

5x²

b. 6 xxxy

One variable appeared three times

6x³y

C.  2 x x x 3 xy​

Multiply the numbers as well as the variables

6x⁴y

Hence, the expressions are simplified to index forms

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Find F2 if FX equals X +1 squared

Answers

Answer:

9

Step-by-step explanation:

f(x) = (x+1) ^2

f(2) = (2+1)^2

f(2) = 3^2 = 9

Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book. What fraction of the original money has Ade left?​

Answers

If Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book. The fraction of the original money Ade left will be 4/5

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book.

The fraction of the original money Ade left is,

=1-(1/4+1/5)

=1-(1/5)

=4/5

Thus, if Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book. The fraction of the original money Ade left will be 4/5

Learn more about the fraction here:

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If E is the circumcenter of MNP, find each measure.

Answers

Answer:

NE = 37

MD = 3[tex]\sqrt{65}[/tex]

Step-by-step explanation:

NOTE: This explanation assumes you have basic knowledge of circumcenters, the Pythagorean Theorem, and pre-algebra

Assuming the calculations you so kindly did for us are correct:

To find NE

Simply plug x, which you found was 5, into the equations 13x-28, then you have the length of the line NE, which is 37.

So

NE = 37

To find MD

A little bit trickier, but still simple. You end up having to use the Pythagorean Theorem. Since NE = ME, you know that ME is equal to 37. Since triangle MED is a right triangle, and you're given on the the side ED (which is 28), and the hypotenuse, ME (which is 37), you can say that

28^2 + b^2 = 37^2

784 + b^2 = 1369

b^2 = 585

b = 3[tex]\sqrt{65}[/tex]

(In which b is MD)

So

MD = 3[tex]\sqrt{65}[/tex]

According to national data, about 15% of American college students earn a graduate degree. Using this estimate, what is the probability that exactly 27 undergraduates in a random sample of 200 students will earn a college degree? Hint: Use the normal approximation to the binomial distribution, where p = 0.15 and q = 0.85. (Round your answer to four decimal places.)

Answers

Using the binomial probability relation, the probability that exactly 27 graduates earn a college degree is 0.069

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

Probability of success, p = 0.15q = 1 - p = 1 - 0.15 = 0.85Number of trials, n = 200X = 27

Probability of exactly 27 graduates can be defined thus :

P(x = 27) = 200C27 × 0.15^27 × 0.85^173

P(x = 27) = 0.0686264

Therefore, the probability of selecting exactly 27 graduates is 0.069

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Find the value of X please and thank you :)

Answers

Answer:

143 degrees

Step-by-step explanation:

The shape is a hexagon therefore the total angle will be 720 degrees.

The sum of the total angle of the shape is 434 degrees

So to get the answer the equation is:

434 + x + x = 720 degrees

So x =  143 degrees.

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