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

Question

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