Answer to Question #313006 in Algebra for Lia

Question

Directions: find (f-g) (x) using the two functions given in each number.

1. F(x) = 3x+3

g(x) = -4x+1

2. F(x) = 2x+5

g(x) = 4x² +2x-2

3.f(x)=5x+1

g(x) =3x-2

4.f(x) -15 x² -2x+5

g(x) = 3x2+x-7

5.f(x) = 3x² - 2x+1

g(x) = 4x² +5x-4

Answer 1

1) $(f-g)(x)=3x+3-(-4x+1)=7x+2.$

2) $(f-g)(x)=2x+5-(4x^2+2x-2)=-4x^2+7.$

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

4) $(f-g)(x)=-15x^2-2x+5-(3x^2+x-7)=-18x^2-3x+12.$

5) $(f-g)(x)=3x^2-2x+1-(4x^2+5x-4)=-x^2-7x+5.$