Answer:
The answer to your question is (fg)(x) = x² - 2; (fg)(0) = -2
Step-by-step explanation:
Data
f(x) = x² + 2x - 1
g(x) = x - 1
(fg)(x) = ?
(fg)(0) = ?
Process
1.- Evaluate f(x) in g(x)
f(g)(x) = (x -1)² + 2(x - 1) - 1
- Simplify
(fg)(x) = x² - 2x + 1 + 2x - 2 - 1
(fg)(x) = x² - 2
2.- Evaluate (fg)(x) when x = 0
(fg)(0) = (0)² - 2
- Simplify
(fg)(0) = 0 - 2
(fg)(0) = -2
