Question

What is the inverse of the function f(x)

Answer 1

Answer:

$h(x)= 9x - 18$

Step-by-step explanation:

Given

$f(x) = \frac{1}{9}x + 2$

Required

The inverse

$f(x) = \frac{1}{9}x + 2$

Replace f(x) with y

$y = \frac{1}{9}x + 2$

Swap x and y

$x = \frac{1}{9}y + 2$

Subtract 2

$x - 2= \frac{1}{9}y$

Multiply 9

$9x - 18 = y$

Rewrite as:

$y = 9x - 18$

So:

$h(x)= 9x - 18$