Question

If f(x)=9x-8, which of the following is the inverse of f(x) *Apex*

Answer 1

First you must know that f(x) means the same thing as y so...

y = 9x - 8

To find the inverse switch the places of x and y and solve for y

x = 9y - 8

x + 8 = 9y

$y = \frac{x+ 8}{9}$

^^^That means the answer is A!

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer 2

Answer:

A. $f^{-1}(x)=\frac{x+8}{9}$

Step-by-step explanation:

We have been given a function $f(x)=9x-8$. We are asked to find the inverse function for our given function.

First of all, we will rewrite $f(x)$ as $y$ as:

$y=9x-8$

To find the inverse function, we will interchange x and y variables and then solve for y.

$x=9y-8$

Now, we will add 8 on both sides of our given equation.

$x+8=9y-8+8$

$x+8=9y$

Switch sides:

$9y=x+8$

Now, we will divide both sides of our equation by 9.

$\frac{9y}{9}=\frac{x+8}{9}$

$y=\frac{x+8}{9}$

Now, we will replace $y$ with $f^{-1}(x)$ as:

$f^{-1}(x)=\frac{x+8}{9}$

Therefore, the inverse function for our given function would be $f^{-1}(x)=\frac{x+8}{9}$ and option A is the correct choice.