math help please:

Question

Find and simplify f(-x) - f(x) for the given function f.

\quad\quad\quad f(x) = 2 x^3 - 8 x^2 + 4 x - 13

f(-x) - f(x) =

Answer 1

f(x) = 2x³-8x²+4x-13

 

f(-x) = 2(-x)³-8(-x)²+4(-x)-13 = -2x³-8x²-4x-13

 

f(-x) - f(x) = (-2x³-8x²-4x-13) - (2x³-8x²+4x-13)

 

                = -4x³ - 8x