Question

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

Answer 1

`(f-g)(x)=2x-2x^2`

Explanation:

`(f-g)(x)=f(x)-g(x)`

`color(white)((f-g(x)))=x^2-(3x^2-2x)`

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

`color(white)((f-g)(x))=-2x^2+2x=2x-2x^2`