Question

Does anyone know how to do this? I’m lost

Answer 1

Answer: B

Explanation:

To find the inverse function, you switch x with y and y with x. Then, you solve for y.

`y=(x-1)^(2) -4` [switch x with y, and y with x]

`x=(y-1)^2-4` [add both sides by 4]

`x+4=(y-1)^2` [square root both sides]

`√(x+4) =y-1` [add both sides by 1]

`√(x+4) +1=y`

`f^-^1(x)=1+√(x+4)`

Now that we know the inverse function, we can actually tell that the answer is B. We know this because of the restriction that f(x) is x≤1. This makes it positive, and B the answer.