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Question
If f(x) = 2x2 + 3, g (x) = 5x − 2, then find f ° g
Solution
f(x) = 2x2 + 3, g(x) = 5x − 2
(f ° g) (x) = f[g(x)]
=f(5x − 2)
= 2(5x − 2)2 + 3
= 2(25x2 − 20x + 4) + 3
= 50x2 − 40x + 11.
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