SOLUTION: Perform the following function composition g(f(x)). * f(x) = x^2 - 1 g(x) = 1/x - 1 g(f(x)) = ?

Algebra ->  Equations -> SOLUTION: Perform the following function composition g(f(x)). * f(x) = x^2 - 1 g(x) = 1/x - 1 g(f(x)) = ?      Log On


   

Question 1079353: Perform the following function composition g(f(x)). *
f(x) = x^2 - 1
g(x) = 1/x - 1
g(f(x)) = ?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The given functions
f%28x%29=x%5E2-1
-
g%28x%29=1%2Fx-1


Composition:

g%28f%28x%29%29=1%2F%28x%5E2-1%29-1

%281-x%5E2%2B1%29%2F%28x%5E2-1%29

highlight%28g%28f%28x%29%29=%282-x%5E2%29%2F%28x%5E2-1%29%29