SOLUTION: Algebra and Trigonometry: Structure and Method, Book 2: In Exercises 32-35, express f(f(x)) as a single simplified fraction. 33. f(x) = x/(x+1)

Algebra ->  Rational-functions -> SOLUTION: Algebra and Trigonometry: Structure and Method, Book 2: In Exercises 32-35, express f(f(x)) as a single simplified fraction. 33. f(x) = x/(x+1)      Log On


   

Question 709517: Algebra and Trigonometry: Structure and Method, Book 2:
In Exercises 32-35, express f(f(x)) as a single simplified fraction.
33. f(x) = x/(x+1)
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given function, x/(x+1), and putting this same expression in place of x, gives the expression, ()/(()+1) to be filled in with the function,...

%28x%2F%28x%2B1%29%29%2F%28%28x%2F%28x%2B1%29%29%2B1%29, obviously needing simplification.
%28x%2F%28x%2B1%29%29%2F%28%28x%2F%28x%2B1%29%29%2B%28%28x%2B1%29%2F%28x%2B1%29%29%29
%28x%2F%28x%2B1%29%29%2F%28%282x%2B1%29%2F%28x%2B1%29%29
We multiply top and bottom by (x+1),
=highlight%28x%2F%282x%2B1%29%29