Which expression represents the composition g(f(x)) for the functions below?f(x) = –3x2g(x) = 3x–9x39x2–9x2–27x2
Mathematics · Middle School · Tue Nov 03 2020
llm
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Given the function:
f(x) = -3x^2
g(x) = 3x - 9x^3
Determine the g(f(x))
Solution:
g(f(x)) can be determined by substituting the f(x) to each value of x in g(x)
g(f(x)) = 3(-3x^2) - 9(-3x^2)^3
g(f(x)) = -9x^2 - 9(-27x^6)
g(f(x)) = -9x^2 +243x^6
Final answer:
g(f(x)) = -9x^2 +243x^6