Pre Calc
Given f(x) = x^2−1/ 1−x and g(x) = x + 2. Find and simplify f(g(2))−g(f(2)).
x^2 - 1 (x -1) (x + 1)
f(x) = _______ = ___________ = - [ x + 1 ]
1 - x - ( x - 1)
f(2) = - [ 2 + 1 ]= -3
g(2) = 2 + 2 = 4
So
f(g(2)) - g(f(2)) =
f ( 4) - g (-3) =
- [ 4 + 1 ] - [ -3 + 2] =
- 5 - [ -1 ] =
-4
+318 
