Question

If f(x)=-4x^2-6x-1 and g(x)=-x^2-5x+3 find (f+g)(x)

Answer 1

`\large\boxed{(f+g)(x)=-5x^2-11x+2}`

Explanation:

`(f+g)(x)=f(x)+g(x)\\\\\text{We have:}\\\\f(x)=-4x^2-6x-1\ \text{and}\ g(x)=-x^2-5x+3.\\\\\text{Substitute}\\\\(f+g)(x)=(-4x^2-6x-1)+(-x^2-5x+3)\\\\=-4x^2-6x-1-x^2-5x+3\qquad\text{combine like terms}\\\\=(-4x^2-x^2)+(-6x-5x)+(-1+3)\\\\=-5x^2-11x+2`