Q. 1 B5.0( 1 Vote )

Find fog and gof, if

f(x) = x2, g(x) = cos x

Answer :

f(x)= x, g (x) = cos x


Domain of f and Domain of g = R


Range of f = (0, )


Range of g = (– 1,1)


Range of f domain of g gof exist


Also, Range of g domain of f fog exist


Now,


gof (x) = g (f (x)) = g (x2) = cos x2


And


fog (x) = f(g(x)) = f (cos x) = cos2 x


Hence, fog(x) = cos x2 and gof(x) = cos2 x


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