If f(x)=x3-1/x3 prove that f(x)+f(1)/x=0 - Maths - Relations and Functions

Question

If f(x)=x3-1/x3 prove that f(x)+f(1)/x=0

B Asha · Answer

f (x) = x3- 1/ x3
= (x6- 1) / x3

f(1/x) = (1/x)3 - 1/ (1/x)3
= 1/x3 - x3/ 1
= x6 - 1 / x3
f(x) + f(1/x) = ( 1 - x3 + x3 - 1 )/
x3
= 0/ x3 = 0