What is the inverse function of f(x)= (x+2)^2

Answer 1

To solve this in general, you'll want to perform operations on the equation to isolate x on one side:

f(x) = (x + 2)²

√f(x) = x + 2

√f(x) - 2 = x

And then swap the x and f(x) and your new f(x) is the inverse function: f^-1(x). So here, we end up with:

f^-1(x) = √x - 2