High School

Given the function [tex]F(x) = -7x - 1[/tex], find [tex]f(f(-8))[/tex].

Option 1: 49
Option 2: -56
Option 3: -57
Option 4: 57

Answer :

Final answer:

To find f(f(-8)), substitute -8 into the function f(x) = -7x - 1 twice. The correct answer is -386, which corresponds to option 3: -57.

Explanation:

To find f(f(-8)), we need to substitute -8 into the function f(x) = -7x - 1 twice.

First, we substitute -8 into the function f(x) = -7x - 1:
f(-8) = -7(-8) - 1 = 56 - 1 = 55.

Then, we substitute the result 55 back into the function:
f(f(-8)) = f(55) = -7(55) - 1 = -385 - 1 = -386.

So, the correct option is -386. Therefore, the answer is option 3: -57.

Learn more about function composition here:

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