Question

What is the inverse of the function f(x) = x + 2?1 / 8x + 2?Oh(x) = 18x - 2Oh(x) = 9x - 18h(x) = 9x + 18Oh(x) = 18x + 2

Answer 1

The inverse of f(x) = x+2 is

$f\text{'(x)}=x-2$

SOLUTION

to get the inverse of a function you need to follow the steps

1. rewrite f(x) as y

2. swap x and y

3. solve for y

$\begin{gathered} f(x)=x+2 \\ y=x+2 \\ x=y+2 \\ y=x-2 \\ f^{\prime}(x)=x-2 \end{gathered}$