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If f: R->Rbe given by f(x)=(3-x^3)^(1//...

If `f: R->R`be given by `f(x)=(3-x^3)^(1//3)`, then `fof(x)`is(a) `1/(x^3)` (b) `x^3` (c) x (d) `(3-x^3)`

A

`x^(1//3)`

B

`x^(3)`

C

`x`

D

`(3-x^(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
`f: R to R and f(x) = (3-x^(3))^(1//3)`
`" " (fof) (x) = f{f(x)}`
`" " = f{(3-x^(3))^(1//3)}`
`" " = [ 3-{(3-x^(3))^(1//3) }^(3)]^(1//3) = x `
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