SOLUTION: If g(x)=3x-5, determine the function f for which g(f(x))=15x^2-6x+4.

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Question 776304: If g(x)=3x-5, determine the function f for which g(f(x))=15x^2-6x+4.
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
If g(x)=3x-5, determine the function f for which g(f(x))=15x%5E2-6x%2B4.
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A:
g(x)=3x-5 therefore,
g(f(x)) = 3f(x)-5 = 15x%5E2-6x%2B4
f(x) = %28%2815x%5E2-6x%2B4%29%2B5%29%2F3 = 5x%5E2-2x%2B3
Answer: highlight%28f%28x%29+=+5x%5E2-2x%2B3%29