Question

If f(x)= x^3 - 1/x^3 prove that f(x)+f(1/x)=0

Answer 1

$f(x) = {x}^{3} - \frac{1}{ {x}^{3} } \\ and \: f( \frac{1}{x} ) = \frac{1}{ {x}^{3} } - {x}^{3}$
adding both of them will give you zero