precalculus help

Question

let f(x)=(x+8)^2.

Find a domain on which f is one-to-one and non-decreasing.

Find the inverse of f restricted to this domain.

f^-1(x)=   

Answer 1

Hi Yoder 2

ƒ(x) = (x+8)²

If you graph this parabola you can see it is increasing where x is (-8, ∞)

You can graph it and the inverse at desmos.com

The inverse is

ƒ^-1(x) = ±√x - 8 with a domain of [0,∞)

Hope this helps.