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

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

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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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APPEARS IN

NCERT Class 12 Maths
Chapter 1 Relations and Functions
Q 3.1 | Page 18
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