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If f(x) = 4x^3 + 3x^2 + 3x + 4, then x^3...

If `f(x) = 4x^3 + 3x^2 + 3x + 4`, then `x^3f(1/x)` isequal to

A

`f(-x)`

B

`(1)/(f(x))`

C

`[f((1)/(x))]^(2)`

D

`f(x)`

Text Solution

Verified by Experts

The correct Answer is:
D
Given, `f(x)=4x^(3)+3x^(2)+3x+4`
`:.x""^(3)f((1)/(x))=x^(3)((4)/(x^(3))+(3)/(x^(2))+(3)/(x)+4)`
`=4+3x+3x^(2)+4x^(3)=f(x)`
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