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Functions f , g: R → R are defined, respectively, by f(x) = x 2 + 3x + 1, g(x) = 2x – 3, find g o f - Mathematics

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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 f

Sum

Solution

Given, f(x) = x2 + 3x + 1, g(x) = 2x – 3

 gof = g(f(x))

= g(x2 + 3x + 1)

= 2(x2 + 3x + 1) – 3

= 2x2 + 6x – 1

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Chapter 1: Relations And Functions - Exercise [Page 13]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 1 Relations And Functions
Exercise | Q 25. (ii) | Page 13

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