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Question:

how would you preform the indicated operation?

f(g(x));f(x)= 4x?-5; g(x)= -x or F(-x): f(x) = 4x? - 5

Answer:

f(g(x)) = f(-x) = f(4(-x)^2 - 5) = f(4x^2 - 5)
First part: Substitute g(x) for f(x) to get: f(-x) = 4(-x)? - 5 = 4x? - 5 Second part: Substitute x with -x to get: f(-x) = 4(-x)? - 5 = 4x? - 5 [Same solution!] I hope this helps!

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