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

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Answer 1 · 2016-03-27T00:53:51

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

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.

$=2x^2-4x+2-x-2$

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

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