Q.3 Find gof and fog, if 

(ii) f (x) = 8x^{3}and g(x) = x^{\frac{1}{3}}

Answers (1)

The solution is as follows

(ii)  f (x) = 8x^{3}and g(x) = x^{\frac{1}{3}}

     gof  = g(f(x))

           = g( 8x^{3})

            = ( 8x^{3})^{\frac{1}{3}}

             =2x

fog = f(g(x))

         =f(x^{\frac{1}{3}} )

          =8((x^{\frac{1}{3}} )^{3})

           =8x

            

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