Answer to Question #323243 in Algebra for Lia

Question

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

1.f(x) =3 x

g(x) =-4x+1

2.f(x) =2x

g(x)= 4x2+2x-2

3.f(x) =5x+1

g(x) =3x

4.f(x) =5x+2

g(x)=3x-5

5.f(x) =3x

g(x) =4x²+5x-4

Answer 1

$1:\\\left( f-g \right) \left( x \right) =3x-\left( -4x+1 \right) =7x-1\\2:\\\left( f-g \right) \left( x \right) =2x-\left( 4x^2+2x-2 \right) =-4x^2+2\\3:\\\left( f-g \right) \left( x \right) =5x+1-3x=2x+1\\4:\\\left( f-g \right) \left( x \right) =5x+2-\left( 3x-5 \right) =2x+7\\5:\\\left( f-g \right) \left( x \right) =3x-\left( 4x^2+5x-4 \right) =-4x^2-2x+4$