Respuesta :

Solution

We have the following function given:

[tex]f(x)=(x+2)^2-5[/tex]

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

1) Replace x by y:

[tex]x=(y+2)^2-5[/tex]

2) Solve for y and we got:

[tex]x+5=(y+2)^2[/tex]

Taking the square root and we got:

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

And we got:

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