Question

How do you find the inverse of `f(x)=(x+1)^2`?

Answer 1

The inverse function is `f(y)=sqrt(y)-1`

Explanation:

To find some (simple) inverse functions, you can write the espression as `y=f(x)`, and then try to isolate `x`. In this case, it is possible:

`y=(x+1)^2`

`sqrt(y)=x+1` (`sqrt(y)` makes sense because `y=(x+1)^2`, so it's positive)

`sqrt(y)-1=x`