Find fog and gof, if
f(x) = x2 + 2,
f(x) = x2 + 1 and
Range of f = (2,∞) ⊂ Domain of g = R ⇒ gof exists
Range of g= R – [ – 1] ⊂ Domain of f =R ⇒ fog exists
Now,
and
Hence,