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Question
Answer the following:
Find f ° g and g ° f: f(x) = 256x4, g(x) = `sqrt(x)`
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Solution
f(x) = 256x4, g(x) = `sqrt(x)`
(f ° g) (x) = f(g(x)) = `"f"(sqrt(x)) = 256 (sqrt(x))^4` = 256x2
(g ° f) (x) = g(f(x)) = g(256x4) = `sqrt(256x^4)` = 16x2
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