Question

Helppppp pleaseeeeee

Answer 1

Let y = x^2 - 16
x^2 = y + 16
x = +/- sqrt ( y + 16)

f-1(x) = +/- sqrt (x + 16) Its the second choice.

Answer 2

For this case we have the following function:
f (x) = x ^ 2 - 16
Rewriting the function we have:

`y = x ^ 2 - 16`
From here, we clear the value of x.
We have then:

`x ^ 2 = y + 16`

`x = +/- √(y+16)`
Then, we return the change of variables.
We have then:

`y = +/- √(x+16)`
Rewriting, we have the inverse function is:

`f(x)^(-1)=+/- √(x+16)`
Answer:
the inverse function is:

`f(x)^(-1)=+/- √(x+16)`
option 2