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

1 Answer
Mar 27, 2016

#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)|)))#