f(x)=(6x-6)/4

Question

g(x)=1/x

Find (f/g)(x)

f(x)=6x-7
g(x)=8x-3

Find (f-g)(x)

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

Find (f+g)(x)

Answer 1

F(x) = (6x-6)/4.
g(x) = 1/x.

(F/g)(x) = ((6x-6)/4) divided by 1/x,
In vert and multiply:
=((6x-6)/4)*x/1=x(6x-6)/4 = 6x(x-1)/4 =
3x(x-1)/2.

F(x) = 6x-7.
g(x) = 8x-3.
(f-g)(x) = (6x-7)-(8x-3)= 6x-7-8x+3 =
-2x-4 = -2(x+2).

F(x) = 2-4x.
g(x) = -6x+4.
(f+g)(x)=(2-4x) + (-6x+4)=2-4x-6x+4 =
2-4x-6x+4 = -10x+6 = -2(5x-3).