6. Directions Choose the correct answer for each row. Find the inverse f^-1(x) of the function f(x)=(1)/(4)x-8

Question

Answer 1

To find the inverse of the function \( f(x) = \frac{1}{4}x - 8 \), we need to follow these steps:1. Replace \( f(x) \) with

:

2. Swap

and

to find the inverse:

3. Solve for

: - First, add 8 to both sides:

- Then, multiply both sides by 4 to solve for

:

- Simplify:

Thus, the inverse function is \( f^{-1}(x) = 4x + 32 \).

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