SOLUTION: f(x)=x+3/x+1, f(x)-f(1)/x-1---> How do i set this problem up. Can you show all steps from setup to solving?

Algebra ->  Geometry-proofs -> SOLUTION: f(x)=x+3/x+1, f(x)-f(1)/x-1---> How do i set this problem up. Can you show all steps from setup to solving?      Log On


   

Question 395573: f(x)=x+3/x+1, f(x)-f(1)/x-1---> How do i set this problem up. Can you show all steps from setup to solving?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if you are given
f%28x%29=%28x%2B3%29%2F%28x%2B1%29, %28f%28x%29-f%281%29%29%2F%28x-1%29
and if you need to find
%28f%28x%29-f%281%29%29%2F%28x-1%29
then first find
f%281%29.....where x=1%7D%7D%0D%0A%0D%0A%7B%7B%7Bf%281%29=%281%2B3%29%2F%281%2B1%29
f%281%29=4%2F2

f%281%29=+2.....now plug it in

%28f%28x%29-f%281%29%29%2F%28x-1%29

%28%28%28x%2B3%29%2F%28x%2B1%29%29+-+2%29%2F%28x-1%29

%28%28%28x%2B3-2%28x%2B1%29%29%2F%28x%2B1%29%29%29%2F%28x-1%29%29

%28%28%28x%2B3-2x-2%29%29%2F%28x%2B1%29%29%29%2F%28x-1%29%29


%28%28%28-x%2B1%29%29%2F%28x%2B1%29%28x-1%29%29%29

%28-%28cross%28%28x-1%29%29%29%2F%28x%2B1%29cross%28%28x-1%29%29%29%29


-1%2F%28x%2B1%29