Q. 1 H5.0( 1 Vote )

Find fog and gof, if

f(x) = c, c R, g(x) = sin x2

Answer :

f(x) = c, c R and


g(x) = sin x2


Range of f = R Domain of g = R gof exists


Range of g= [ – 1,1] Domain of f =R fog exists


Now,


gof(x) = g(f(x)) = g(c) = sin c2 and


fog(x) = f (g(x))= f(sin x2) =c


Thus, gof(x) = sin c2 and fog(x) = c


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