Q. 1 E5.0( 1 Vote )

Find fog and gof,

Answer :

f(x) = sin – 1 x and g (x) = x2


Range of f= Domain of g = R gof exist


Range of g= (0,∞) Domain of f = R fog exist


Now,


fog (x) = f(g(x)) = f(x2) = sin – 1x2 and


gof(x) = g(f(x)) = g (sin – 1 x) = (sin – 1x)2


Hence, fog(x) = sin – 1x2 and gof(x) = (sin – 1x)2


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