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F(x)= -X+6 g(x)=4x-6

g(f(x))

1 Answer

6 votes

Answer:


g(f(x)) = - 4x + 18

Explanation:

f(x) = - x + 6

g(x) = 4x - 6

In order to find g(f(x)) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's


g(f(x)) = 4( - x + 6) - 6 \\ = - 4x + 24 - 6

We have the final answer as


g(f(x)) = - 4x + 18

Hope this helps you

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