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If f(x) = x^(2) and g(x) = (1)/(x^(3)). ...

If `f(x) = x^(2)` and `g(x) = (1)/(x^(3))`. Then the value of `(f(x)+g(x))/(f(-x)-g(-x))` at `x = 2` is

A

`(33)/(31)`

B

`(31)/(33)`

C

`1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
If `f(x)=x^(2)` …………
`f(x)=x^(2)`
`g(x)= (1)/(x^(3))`
`f(2)=4`
`f(-2)=4`
`g(2)=1//8`
`g(-2)= -1//8`
`(f(2)+g(2))/(f(-2)g(-2)) = (4+(1)/(8))/(4+(1)/(8)) = 1`
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