Question

f(x)=x^3+3x-4sin^3x to prove f(-x)=-f(x)​

Answer 1

f (-x) = (-x)³ + 3( -x) - 4sin³(-x)

= -x³ - 3x + 4 sin³x........(1)

-f(x) = -( x³ + 3x - 4 sin³ (x) )

= -x³ - 3x + 4 sin³x..........(2)

= (1) = (2)

Hence f(-x)=-f(x)​