Question

For f(x)=3x-5 and g(x) = x^2+2 find (f+g)(x)

Answer 1

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

Explanation:

`(f+g)(x)=f(x)+g(x)\\\\f(x)=3x-5,\ g(x)=x^2+2\\\\\text{Substitute:}\\\\(f+g)(x)=(3x-5)+(x^2+2)=3x-5+x^2+2=x^2+3x+(-5+2)=x^2+3x-3`