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Question
Answer the following:
Find f ° g and g ° f: f(x) = 3x – 2, g(x) = x2
Solution
f(x) = 3x – 2, g(x) = x2
(f ° g) (x) = f(g(x)) = f(x2) = 3x2 – 2
(g ° f) (x) = g(f(x))
= g(3x – 2)
= (3x – 2)2
= 9x2 – 12x + 4
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