For this case we have the following function:
f (x) = x ^ 2 - 16
Rewriting the function we have:
[tex]y = x ^ 2 - 16
[/tex]
From here, we clear the value of x.
We have then:
[tex]x ^ 2 = y + 16
[/tex]
[tex]x = +/- \sqrt{y+16} [/tex]
Then, we return the change of variables.
We have then:
[tex]y = +/- \sqrt{x+16} [/tex]
Rewriting, we have the inverse function is:
[tex]f(x)^{-1}=+/- \sqrt{x+16}[/tex]
Answer:
the inverse function is:
[tex]f(x)^{-1}=+/- \sqrt{x+16}[/tex]
option 2
