Let f(x) = 3x2 + x − 3 and g(x) = x2 − 5x + 1. Find f(x) − g(x).

Work Shown:

f(x) - g(x) = [ f(x) ] - [ g(x) ]

f(x) - g(x) = ( 3x^2+x-3) - ( x^2-5x+1 )

f(x) - g(x) = 3x^2+x-3 - x^2+5x-1

f(x) - g(x) = (3x^2-x^2) + (x+5x) + (-3-1)

f(x) - g(x) = 2x^2 + 6x - 4

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

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

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.