Question

I need help with my Pre-Calculus HW! The directions say "given f(x) and g(x), determine if f and g are inverse functions."

Answer 1

We will have the following:

1.

$y=-(x+1)^3$

Thus:

$x=-(y+1)^3\Rightarrow y=-\sqrt[3]{x}-1$

So, g(n) is not the inverse function.

2.

$y=\frac{-16+x}{4}$

Thus:

$x=\frac{-16+y}{4}\Rightarrow y=4x+16$

So, g(n) is the inverse function.