Question

What is (f+g)(x)

f(x)=-x^2-3

g(x)=3x

Answer 1

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

Explanation:

`(f+g)(x)=f(x)+g(x)\\\\f(x)=-x^2-3\\\\g(x)=3x\\\\\text{Substitute:}\\\\(f+g)(x)=(-x^2-3)+(3x)=-x^2+3x-3`