Question

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

Answer 1

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`