Q. 1 F5.0( 1 Vote )

Find fog and gof,

Answer :

f(x) = x + 1 and g(x) = sin x


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


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


Now,


fog(x) = f(g(x)) = f(sin x) = sin x + 1


And


gof(x) = g(f(x)) = g(x + 1) = sin(x + 1)


Hence, fog(x) = sin x + 1 and gof(x) = sin(x + 1)


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