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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 g o g
Sum
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Solution
Given, f(x) = x2 + 3x + 1, g(x) = 2x – 3
gog = g(g(x))
= g(2x – 3)
= 2(2x – 3) – 3
= 4x – 6 – 3
= 4x – 9
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Inverse of a Function
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Chapter 1: Relations And Functions - Exercise [Page 13]
