Domain of (f-g)

Question

given g(x)=2x^2+5 and f(x)=-12x+1/2x find : (f-g)(-x)

Answer 1

(f-g)(x) would be 12x + 1/2x - (2x² + 5) = 12x + 1/2x - 2x² - 5.

 

So (f-g)(-x) would be 12(-x) + 1/2(-x) -2(-x)² - 5 =

-12x -1/2x -2x² -5