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If f\ : R-: R be defined by f(x)=(3-x...

If `f\ : R-: R` be defined by `f(x)=(3-x^3)^(1//3)\ ,` then find `fof(x)`

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`f circ f(x) =f[f(x)]=f[(3-x^{3})^{1 / 3}]`

`=[3-{(3-x^{3})^{1 / 3}}^{3}]^{1 / 3} `

`=[3-(3-x^{3})]^{1 / 3}=(x^{3})^{1 / 3} `

`=x`

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