Q. 1 B5.0( 1 Vote )

# Find fog and gof, iff(x) = x2, g(x) = cos x

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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