Question

function help ............

Answer 1

$f(x) = {x}^{3} - \frac{1}{ {x}^{3} } \\ f( \frac{1}{x} ) = \frac{1}{ {x}^{3} } - \frac{1}{ \frac{1}{ {x}^{3} } } = \frac{1}{ {x}^{3} } - {x}^{3} \\ adding \: both \\ f(x) + f( \frac{1}{x} ) = {x}^{3} + \frac{1}{ {x}^{3} } - {x}^{3} - \frac{1}{ {x}^{3} } = 0$

Answer 2

f(x) =x^3 - 1/x^3 .......(I)
now put 1/x in place of x
we will get f(1/x) =1/x^3 - x^3 .......(ii)
so add equation I and ii
we get 0 is the answer
Hope this will help you out . Thank you ❤️❤️❤️