Question

Find the function !!! 10 points - Help needed!

Answer 1

Hello!

The answer is:

The first option,

$f^{-1}(x)=\frac{x-2}{4}$

Why?

To find the inverse of a function, we need to rewrite the variable "x" with "y" and the variable "y" with "x", and then, isolate "y".

We are given the function:

$f(x)=4x+2$

Write "f(x)" is equal to write "y", so:

$y=4x+2$

Now, finding the inverse, we have:

$y=4x+2\\x=4y+2\\x-2=4y\\y=\frac{x-2}{4}$

Hence, we have that the answer is the first option,

$f^{-1}(x)=\frac{x-2}{4}$

Have a nice day!

Answer 2

ANSWER

${f}^{ - 1} (x) = \frac{x - 2}{4}$

EXPLANATION

The given function is

f(x)=4x+2

To find the inverse, we let

y=4x+2

Then, interchange x and y.

x=4y+2

Solve for y,

x-2=4y.

Divide both sides by 4

$y = \frac{x - 2}{4}$

Hence, the inverse is:

${f}^{ - 1} (x) = \frac{x - 2}{4}$