Question

Consider the function attached below

Answer 1

2

Explanation:

Hello,

`x=(fof^(-1))(x)=f(f^(-1)(x))=\sqrt{2f^(-1)(x)}+5\\<=>\sqrt{2f^(-1)(x)} =x-5\\<=>2f^(-1)(x)=(x-5)^2\\<=>f^(-1)(x)=((x-5)^2)/(2)`

now let's replace x by 7 it comes

`f^(-1)(7)=((7-5)^2)/(2)=(2^2)/(2)=2`

hope this helps