Find `gof`and `gof`when `f: R->R`and `g: R->R`is defined by `f(x)=8x^3 – InterviewSolution

InterviewSolution

1.	Find `gof`and `gof`when `f: R->R`and `g: R->R`is defined by `f(x)=8x^3`and `g(x)=x^(1//3)`
Answer» Correct Answer - (g o f) (x) =2x and (f o g) (x) = 8x `(g o f) (x)=g[f(x)] =g (8x^(3))= g(y) "where " y=8x^(3)` `=y^(1//3) =(8x^(3))^(1/3) =2x` `(f o f) (x)= f[g (x)] =f(x^(1/3))^(3)=8x^(((1)/(3)xx3))=8x`

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