4x Which of the following represents the inverse of f(x)=4^x-1+2 A f^-1(x)=log_(4)(x-2)+1 B f^-1(x)=log_(4)(x+2)+1 C f^-1(x)=log_(4)(x-2)-1 D f^-1(x)=log_(4)(x+2)-1

Question

Answer 1

To find the inverse of the function

, we need to follow these steps:1. Replace

with

:

2. Swap

and

:

3. Solve for

: - Subtract 2 from both sides:

- Take the logarithm base 4 of both sides:

- Add 1 to both sides:

Therefore, the inverse of

is

. So, the correct answer is A

.

Question