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3 years ago

What is the inverse of f(x)=1/3x+2?

Mathematics

2 answers:

frozen [14]3 years ago

8 0

The inverse of this function is f(x) = 3x - 6.

You can find the inverse of any function by switching the f(x) and x values. Once you've done that, solve for the new f(x). The result will be the inverse function. The step-by-step process is below.

f(x) = 1/3x + 2 ---> Switch f(x) and x values

x = 1/3f(x) + 2 ---> Subtract 2 from both sides

x - 2 = 1/3f(x) ----> Multiply both sides by 3

3(x - 2) = f(x) ----> Distribute the 3

3x - 6 = f(x) ----> Place in the proper order for formatting purposes

f(x) = 3x - 6

And that is your inverse function.

Ronch [10]3 years ago

7 0

Answer:

It is actually h(x) = 3x - 6

Step-by-step explanation:

I had a quiz on it

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Jada Elena and Lin walked a total of 37 miles last week. jada walked 4 more miles that elena, and Lin walked 2 more miles than j

MA_775_DIABLO [31]

Answer:

Jada walked $13\ miles$

Elena walked $9\ miles$

Lin walked $15\ miles$

Step-by-step explanation:

Let

x----> total miles walked by Jada

y----> total miles walked by Elena

z----> total miles walked by Lin

we know that

$x+y+z=37$ -----> equation A

$x=y+4$ -----> $y=x-4$ ------> equation B

$z=x+2$ ------> equation C

Substitute equation C and equation B in equation A and solve for x

$x+(x-4)+(x+2)=37$

$3x=37+2$

$3x=39$

$x=13\ mi$

Find the value of y

$y=13-4=9\ mi$

Find the value of z

$z=13+2=15\ mi$

therefore

Jada walked $13\ miles$

Elena walked $9\ miles$

Lin walked $15\ miles$

3 0

3 years ago

Does anyone know <br> 2x=8y=7<br> 4x-2y=9

Fantom [35]

Assuming you mean 2x-8y=7, we can start by multiplying the first equation by -2 and adding it to the second (to cross out the x), resulting in -18y=-5. After that, we can divide both sides by -18, resulting in y=5/18. Next, plugging that into 4x-2y=9, we have 4x-10/18=9. Adding 10/18 to both sides, we get 4x=9+10/18. After that, we can divide both sides by 4, resulting in x=(9+10/18)/4=

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3 years ago

What is the volume of a sphere with a radius of 6 mm?

Mrrafil [7]

Answer:

$V = 904.779\,mm^{3}$

Step-by-step explanation:

The volume of a sphere can be determined by using the following formula:

$V = \frac{4\pi}{3}\cdot r^{3}$

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3 years ago

4000 / 19=<br>4000 / 19=

katrin2010 [14]

Answer:

210.53

Step-by-step explanation:

here

hope it helps

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3 years ago

Nathan and his brother Zach love to play video games. Right now, Nathan's score is 11 less than 2 times Zach's score.-example, i

sashaice [31]

Zach's score, Z, and Nathan's score, N, are related by the formula

2Z-11=N.

This is further explained below.

<h3>What are algebraic expressions?</h3>

Generally, Assume Nathan has a score of N and Zach has a score of Z.

Zach's score is 11 points higher than Nathan's.

It implies,

N equals twice of Z minus 11.

We may format it as follows:

2Z - 11 = N

There are now four possible outcomes for these two brothers' scores:

Zach's score will be determined using algebraic formulas if Nathan's score is 81.

2Z - 11 = 81

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Zach's score will be 61 if Nathan receives a score of 111.

Zach's score will be 121 if Nathan's score is 231 or higher.

Zach's score will be 456 if Nathan's score is 901.

The formula 2Z - 11 = Z is a rule that connects Nathan's and Zach's scores.

Visit to learn more about algebraic expressions.

brainly.com/question/953809

#SPJ1

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1 year ago