Let f(x) = 4x-5 and g(x) = 3x, find (f/g)(x).
(f/g)(x) = f(x)/g(x) = (4x - 5) / 3x
If it needs to be simplified then:
(4/3)x - 5 / 3x
[ 4x-5] / [ 3x], solve for x
Solve for x: (4 x-5)/(3 x) = 0
Multiply both sides by 3: (4 x-5)/x = 0
Multiply both sides by x: 4 x-5 = 0
Add 5 to both sides: 4 x = 5
Divide both sides by 4: Answer: |x = 5/4
(f /g)(x) = f(x) / g(x) = [ 4x - 5 ] / [3x] = [4x] / [3x] - 5 /[3x] = (4/3) - ( [5] / [3x] )