Q. 55.0( 1 Vote )

If f(x) = sin x and g(x) = 2x be two real functions, then describe gof and fog. Are these equal functions?

Answer :

We have, f (x) = sin x and g (x) = 2x.


Domain of f and g is R


Range of f = [ – 1,1], Range of g = R


Range of f Domain g and Range of g Domain f


fog and gof both exist.


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


gof(x) = 2sin x


fog(x) = f(g(x)) = f(2x) = sin 2x


gof fog


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