The required composite function is (f ◦ g)(x) = -2x - 1
Given the functions:
- F(x) = -2x − 5
- g(x) = x − 2
The composite function f(g(x)) is expressed as:
(f ◦ g)(x) = f(x-2)
f(x-2) = -2(x-2) - 5
f(x-2) = -2x + 4 - 5
f(x-2) = -2x - 1
Hence the required composite function is (f ◦ g)(x) = -2x - 1
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