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If f :R ->R , f(x)=x^3 +3,and g:R->R,g(x...

If `f :R ->R` , `f(x)=x^3 +3`,and `g:R->R`,`g(x)=2x + 1`, then `f^(-1)g^(-1)(23)` equals

A

2

B

3

C

`(14)^(1//3)`

D

`(15)^(1//3)`

Text Solution

Verified by Experts

The correct Answer is:
A
`f^(-1)og^(-1)(23)=(gof)^(-1)(23)`
`"Now "gof(x)=2(x^(3)+3)+1`
`"For "2(x^(3)+3)+1=23`
`rArr" "x=2`
`therefore" "gof^(-1)(23)=2`
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