Question

If `f(x)=3x^2-x+5` and `g(x)=2x-3`, what is `(f+g)(x)`?

Answer 1

`(f+g)(x) = 3x^2 +x +2`

Explanation:

`(f+g)(x) = f(x) + g(x):`

`(f+g)(x) = 3x^2 - x +5 + 2x - 3`

Add like terms:
`(f+g)(x) = 3x^2 +(-x + 2x) + (5 - 3)`

`(f+g)(x) = 3x^2 +x +2`