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Question
Functions f , g: R → R are defined, respectively, by f(x) = x 2 + 3x + 1, g(x) = 2x – 3, find f o g
Solution
Given, f(x) = x2 + 3x + 1, g(x) = 2x – 3
fog = f(g(x))
= f(2x – 3)
= (2x – 3)2 + 3(2x – 3) + 1
= 4x2 + 9 – 12x + 6x – 9 + 1
= 4x2 – 6x + 1
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