Question

Given `f(x) = x +2` and `g(x)= 2x^2-4x+2`, how do you find `g(x)-f(x)`?

Answer 1

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

Explanation:

Given the following functions, you are asked to subtract `f(x)` from `g(x)`:

`1. color(darkorange)(f(x)=x+2)`
`2. color(blue)(g(x)=2x^2-4x+2)`

Thus:

`color(blue)(g(x))-color(darkorange)(f(x))`

`=color(blue)(2x^2-4x+2)-color(orange)((x+2))`

Simplify.

`=2x^2-4x+2-x-2`

`=color(green)(|bar(ul(color(white)(a/a)2x^2-5xcolor(white)(a/a)|)))`