Question

Find f-1(x).f(x) = (x+2) 2-5

Answer 1

Solution

We have the following function given:

$f(x)=(x+2)^2-5$

And we want to find the inverse so then we can apply this procedure:

1) Replace x by y:

$x=(y+2)^2-5$

2) Solve for y and we got:

$x+5=(y+2)^2$

Taking the square root and we got:

$y+2=\sqrt[]{x+5}$

And we got:

$y=\pm\sqrt[]{x+5}-2$