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Find Gof And Fog, If F(X) = |X| and G(X) = |5x - 2| - Mathematics

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Question

Find gof and fog, if  f(x) = |x| and g(x) = |5x - 2|

Solution

`f(x) = |x| and g(x) = |5x - 2|`

:. (gof) (x) = g g(f(x)) = g(|x|) = |5|x|-2|

`(fog)(x) = f(g(x)) = f(|5x - 2|) = ||5x - 2| = |5x - 2`

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Chapter 1: Relations and Functions - Exercise 1.3 [Page 18]

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NCERT Mathematics [English] Class 12
Chapter 1 Relations and Functions
Exercise 1.3 | Q 3.1 | Page 18

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