evaluate functions?

Question

f(x) = 3x - 1

f(x) - f(1)
_______
x - 1

could you explain that a bit more detial.. steps please

Answer 1

To do the second part, you need to first determine f(1):
f(1) means you are substituting 1 for x in f(x).
f(x) = 3x-1, so f(1) = 3(1) - 1 = 2

Now to evaluate part 2:
First, evaluate the numerator:
f(x) - f(1) = (3x - 1) - 2 = 3x - 3 = 3 (x-1)

Now, express your fraction:
3(x-1) / (x-1)
Since you have x-1 on the top and bottom, they cancel, leaving you with 3 (solution!)

Answer 2

f(x) - f(1) = 3x - 1 - (3*1 - 1) = 3x -3 then your equation is:
(3x - 3)/(x-1)
Bye bye darling.