Q. 1 C5.0( 3 Votes )

Find fog and gof, if

f(x) = |x|, g(x) = sin x

Answer :

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


Range of f = (0, ∞) Domain g (R) gof exist


Range of g= [ – 1,1] Domain f (R) fog exist


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


gof(x) = g(f(x)) = g(lxl) =sin |x|


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


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