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Find gof and fog

Answer :

Since, f:R R and g:R R


fog:R R and gof:R R


f (x) = x and g (x) = |x|


Now, gof(x)=g(f(x) =g(x)


gof(x) =|x|


and, fog(x) = f(g(x)) = f (|x|)
fog(x)=|x|


Hence, gof(x) = fog(x) = |x|


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