Question

Find the inverse of each function (show work please)

Answer 1

To find the inverse function of a function, you rearrange for the x term (could be some other letter) and then swap the function and the x at the end. For example,

$g(x)=15x-10 \Rightarrow x=\frac{g(x)+10}{15}$ and so,

$g^{-1}(x) = \frac{x+10}{15}.$

For part 3 we have

$h(x)=\frac{x-12}{4} \Rightarrow x=4h(x)+12$ and hence,

$h^{-1}(x)=4x+12=4(x+3)$

Can you do part 4 on your own?