For f(x)=4x+1 and g(x)=x^2-5, find (g/f)(x)

Answers

Answer 1

Answer:

[tex](g/f)(x) = \frac{g(x)}{f(x)} = \frac{ {x}^{2} - 5 }{4x + 1} [/tex]

I hope I helped you^_^


Related Questions

solve: 5x-4=6 please help meee

Answers

Answer:

x=2

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

You add 4 to 6

Then you divide 10 by 5.

find f(-2) if f(x) = -3x + 5

Answers

Answer:

11

Step-by-step explanation:

Answer:

f(-2) = 11

Step-by-step explanation:

Given the function, f(x) = -3x + 5:

We can evaluate f(-2) by substituting -2 as the input (or x-value) for the function:

f(-2) = -3x + 5

f(-2) = -3(-2) + 5

f(-2) = 6 + 5

f(-2) = 11

Therefore, f(-2) = 11.

What is the length of the missing side?

Answers

9514 1404 393

Answer:

  10

Step-by-step explanation:

The Pythagorean theorem tells you the relationships of sides in a right triangle is ...

  a² + b² = c² . . . . . . where 'a' and 'b' are the legs, and 'c' is the hypotenuse

  6² +8² = c²

  36 +64 = c² = 100

  c = √100 = 10

The length of the hypotenuse is 10.

_____

Additional comment

The ratio of the leg lengths is 8/6 = 4/3. The only right triangle with legs in the ratio 4/3 has the relationship ...

  hypotenuse : long leg : short leg = 5 : 4 : 3

If you multiply these numbers by 2, you see they correspond to the side lengths in this triangle. Your familiarity with a 3-4-5 right triangle can let you write down the answer immediately.

Pls help me really fast and thx! When solving the literal equation rx = sx + t for x, are there any restrictions on r, s, or t?

Answers

Answer:

When solving the literal equation rx = sx + t for x, are there any restrictions? There are no restrictions.

Step-by-step explanation:

help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: Add 5 to x and y for each point.

Step-by-step explanation:

Add 5 to x and y for each point.

(-4,-1) becomes (1, 4), (-1,-4) becomes (4,1) . . . etc.

Find the product of two numbers whose sum is 11 and difference is 3.
A. 28
B. 24
C. 20
D. 18
E. 16

Answers

Answer: I think it’s A - 28

Step by step:

For the sum : if you add 11 + 17 it gives you 28.

For the division: if you divided 28 by 3 it would equal 9.3.

So I think it’s 28 I’m not so sure

put the following equation of a line into slope-intercept form, simplifying all fractions.

15x-3y=15

Answers

Answer:

y=5x+5

Step-by-step explanation:

Answer:

Y=5x-5

Step-by-step explanation:

-3y=-15x+15

3y=15x-15

Y=5x-5

One fourth of marked price of a watch is given as discount. What is the discount percent​

Answers

Answer:

pretty sure its 25%

Step-by-step explanation:

1/4 is the same as 0.25 which is also the same as 25%

Which of these number is divisible by. 2,10,5

Answers

Attach the numbers What number

Answer:

Unit digit of this number is 0, hence divisible by 10. Hence, 19400 is divisible by 2, 5 and 10. This is an even number, hence divisible by 2. Unit digit of this number is 0, hence divisible by 5.

Simplify plz :3 <3
1+4(6p-9)

Answers

Answer:

24p - 35

Step-by-step explanation:

Step 1: Distribute.

[tex]1+4(6p-9)[/tex] [tex]1+(4)(6p) + (4)(-9)[/tex] [tex]1+24p -36[/tex]  

Step 2: Combine like terms.

[tex](24p) + (-36+1)[/tex] [tex]24p - 35[/tex]

Therefore, the answer is 24p - 35! I hope this helped you.

an anchor lowered at a constant rate into the ocean takes 5 seconds to move -17.5 meters

Answers

Answer:

This isn't really a question, can you rephrase it?

Step-by-step explanation:

Find the length x (thanks)

Answers

Answer:

14

Step-by-step explanation:

scale factor = 4/8 which is to 2.

therefore, x = 7×2

x = 14

Write the equation of the line in fully simplified slope intercept form

Answers

Answer:

y = x + 8

Step-by-step explanation:

It is y = 1/1x + 8, but we don't put the one if it's at the botton. So, y = 1x + 8, but, when a one is in front of the x, we don't put it either. The answer is

y = x + 8

The y-intercept is where the line "touches" the y-intercept, in this case, 8.

The slope is how many times you go up-down, and to side from point to pint, in this case 1/1.

Makes sense? If so, hope this helps!

Answer:

y = -1x + 8 or y = -x + 8 (both are same)

Step-by-step explanation:

m = slope

slope = y2 - y1 / x2 - x1

4 - 6 / 4 - 2 = -2/2 = -1

m = -1  

b = y-intercept

b = 8

y = mx + b

y = -1x + 8

y = -x + 8

(negative slope)

find an equation of the line which is perpendicular to the line y=-1/3x+6 and passes through the point (2,4)

Answers

Answer:

y = 3x

Step-by-step explanation:

Choose a point that the perpendicular line will pass through.

(

0

,

0

)

Combine  

1

3

and  

x

.

y

=

x

3

+

6

Use the slope-intercept form to find the slope.

Tap for fewer steps...

The slope-intercept form is  

y

=

m

x

+

b

, where  

m

is the slope and  

b

is the y-intercept.

y

=

m

x

+

b

Using the slope-intercept form, the slope is  

1

3

.

m

=

1

3

The equation of a perpendicular line to  

y

=

x

3

+

6

must have a slope that is the negative reciprocal of the original slope.

m

perpendicular

=

1

1

3

Simplify  

1

1

3

to find the slope of the perpendicular line.

Tap for fewer steps...

Multiply the numerator by the reciprocal of the denominator.

m

perpendicular

=

(

1

3

)

Multiply  

3

by  

1

.

m

perpendicular

=

1

3

Multiply  

1

by  

3

.

m

perpendicular

=

3

Find the equation of the perpendicular line using the point-slope formula.

Tap for fewer steps...

Using the point-slope form  

y

y

1

=

m

(

x

x

1

)

, plug in  

m

=

3

,  

x

1

=

0

, and  

y

1

=

0

.

y

+

0

=

3

(

x

+

0

)

Solve for  

y

.

Tap for fewer steps...

Add  

y

and  

0

.

y

=

3

(

x

+

0

)

Add  

x

and  

0

.

y

=

3

x

Hello!

y=-1/3x+6

Perpendicular lines have slopes that are opposite reciprocals.

This means that if we have a slope of -1/3, its opposite reciprocal would be 3

Use Point-Slope form:

y-y1=m(x-x1)

y-4=3(x-2)

y-4=3x-6

y=3x-6+4

y=3x-2

Hope this helps you!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Please help me quick!! I’ll reward you!
What is the length of the dotted line in the diagram below? Round to the nearest
tenth

Answers

Answer:

9.1

Step-by-step explanation:

In the comments

Classify each polynomial based on its degree and number of terms.

Drag each description to the correct location. Each description can be used more than once.

Answers

Answer:

1) degree: 5 / number of terms: 4

2) degree: 4 / number of terms: 3

3) degree: -1 / number of terms: 2

4) degree: 8 / number of terms: 2

5) degree: 2 / number of terms: 3

6) degree: 3 / number of terms: 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Anyone know this please?!

Answers

Your answer is acute triangle

what is the difference between -6 and -14

In number line


I give all my points


100 points

Answers

The difference between -6 and -14 is that -6 is greater than -14 on a line.

Answer:

On a number line, -6 is greater than -14.

Here's how to show it: (o is a point if you were to draw it out you would color the o in)

  -14   - 13   -12   -11   -10   -9   -8   -7    -6   -5   -4   -3   -2  -1  0

<--o------------------------------------------------o------------------------------->

-6 is closer to 0

What is the approximate radius of a sphere of volume 528 m³? round the answer to hundreth
please explain your answer​

Answers

[tex]\\ \sf\longmapsto V=\dfrac{4}{3}πr^3[/tex]

[tex]\\ \sf\longmapsto 528=\dfrac{4}{3}πr^3[/tex]

[tex]\\ \sf\longmapsto \pi r^3=528\times \dfrac{3}{4}[/tex]

[tex]\\ \sf\longmapsto πr^3=32(3)[/tex]

[tex]\\ \sf\longmapsto \pi r^3=96[/tex]

[tex]\\ \sf\longmapsto 3.14r^3=96[/tex]

[tex]\\ \sf\longmapsto r^3=\dfrac{96}{3.14}[/tex]

[tex]\\ \sf\longmapsto r^3=30.57[/tex]

[tex]\\ \sf\longmapsto r=3.09m=3.1m[/tex]

[tex]\large \boldsymbol {} \sf V_{sp}=\dfrac{4}{3} \pi r^3 \\\\ \displaystyle \\ \frac{4}{3} \pi r^3=528 \ m^3 \\\\\\ r=\sqrt[3]{\sf \frac{528}{\pi } \cdot \frac{3}{4} } \approx5,0\underline 13\approx5,01[/tex]

pls help me with this if u can

Answers

Where are the questions

solve for x.

- 7 > 13 - 15 x

Answers

Step-by-step explanation:

-7-13>-15x

-20>-15x

x>-20/-15

x>4/3

please give the domain.

or write on your own.!

Answer:

[tex]1 \frac{1}{3} < x \: \: \: or \: \: \: x > 1 \frac{1}{3} \\ [/tex]

Step-by-step explanation:

[tex] - 7 > 13 - 15x \\ - 7 - 13 > - 15x \\ - 20 > - 15x \\ \frac{ - 20}{ - 15} < x \\ \frac{4}{3} < x \\ 1 \frac{1}{3} < x \\ [/tex]

please help will gove brainliest of right answer i need it asap thanks​

Answers

It’s the second option counting from top to bottom

Answer:

B.)

Step-by-step explanation:

A function is defined as having one input for every output. Therefore, you cannot have more than one inputs and get the same output. (Well you can, but you learn what this means later in mathematics ;) )

HAS Y INTERCEPT OF 3 AND PASSES THROUGH (2,3)

Answers

Answer:

(0,3) and (2,3) are the coordinates and if you graph it is shows that it has a slope of 0.

Maria jogged 5000. How many METERS did she jog? Explain.

Answers

didifuehhenendudhebnju

If the order of a matrix A is 2×3 and order of AB is 2×4 then, find the order of matrix B.​

Answers

I think it’s 2x1 hope this helps

If y varies inversely as x and y= 27when x =12 find x when y =-9

Answers

You would put 27 over 12 equal to -9 over x and cross multiply. You would come up with 27x = -108 and then divide both sides by 27 and come up with -4. X=-4

Determine the relationship between the two triangles and whether or not they can be proven to be congruent.​

Answers

Same Question here answered by me correctly . Visit the link below for your answer

https://brainly.com/question/25009147?

Angles are Not Named but it congruent under the case of (SAS)

Pls help me with this question!!!

Answers

Step-by-step explanation:

just think a little bit.

congruent rectangles means they are all of equal size.

so, the sizes of all of these rectangles are 3×4.

therefore, the area of each one is 3×4 = 12 cm².

the total surface area (without the top

and bottom stars) is the sum of the areas of all rectangles.

how many rectangles are there ?

well, every "arm" of the star has 2 rectangle sides. and there are 5 "arms". so, there are 2×5 = 10 rectangles.

now it is really easy, right ?

we have 10 rectangles, each one with an area of 12 cm².

so the total surface area (without the star bases) is

12×10 = 120 cm²

Please Help! Im exhausted and this is due tonight

Answers

Answer:

(a5)6*(b6)

Step-by-step explanation:

Brainliest to the answer A 5-pack of plastic rings costs $0.60. What is the unit price?

Answers

To find the unit price, divide $0.60 by 5 (since it's a 5-pack).

Doing so will give you a unit price of $0.12 per plastic ring.
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