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If f(x)=x^(3)-(1)/(x^(3)) , then find t...

If `f(x)=x^(3)-(1)/(x^(3))` , then find the value of `f(x)+f(-x)` .

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`f(x)=x^(3)-(1)/(x^(3))" "…(1)`
`implies f(-x)=(-x)^(3)-(1)/((-x)^(3))`
`=-x^(3)+(1)/(x^(3))`
`=-(x^(3)-(1)/(x^(3)))`
`=-f(x)" "`[From eq. (1)]
`implies f(x)+f(-x)=0`
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