Question

Find ( f + g)(x).

f (x) = -5x2 - 3x + 2 and g(x) = 2x2 + 5x - 1

Answer 1

`\large\boxed{(f+g)(x)=-3x^2+2x+1}`

Explanation:

`f(x+y)=f(x)+g(x)\\\\f(x)=-5x^2-3x+2,\ g(x)=2x^2+5x-1\\\\\text{Substitute:}\\\\(f+g)(x)=(-5x^2-3x+2)+(2x^2+5x-1)\\\\=-5x^2-3x+2+2x^2+5x-1\qquad\text{combine like terms}\\\\=(-5x^2+2x^2)+(-3x+5x)+(2-1)\\\\=-3x^2+2x+1`