If f(x) = x^2+3      g(x) =sqrt(x)  determine  (fog)(x) and (gof)(x).

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f(x) = x^2 + 3

g(x) = sqrtx

fog(x) = f(g(x)

           = f(sqrtx)

           = (sqrtx)^2 + 3

           = x+ 3

==> fog(x) = x+ 3

 

gof(x) = g(f(x)

            = g(x^2 + 3)

             = sqrt(x^2 + 3)

==> gof(x) = sqrt(x^2 + 3)

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