If f(x)=x3-(1/x3), then f(x)+f((1/x)) is equal to

Question

If f(x)=x3-(1/x3), then f(x)+f((1/x)) is equal to (A) 2 x3 (B) 2 (1/x3) (C) 0 (D) 1

Tardigrade Admin · Accepted Answer

Since f(x)=x3-(1/x3) ; f((1/x))=(1/x3)-(1/(1)x3)=(1/x3)-x3 Hence, f(x)+f((1/x))=x3-(1/x3)+(1/x3)-x3=0

Q. If $f (x) = x^{3} - \frac{1}{x ^{3}}$ , then $f (x) + f (\frac{1}{x})$ is equal to