Two functions f and g are defined on the set of real numbers by \(f : x \to x^{2} + 1\) and \(g : x \to x – 2\). Find f o g.
- \(x^{2} + 4x - 5\)
-
\(x^{2} - 4x + 5\)
- \(x^{2} - 1\)
- \(x - 1\)
The correct answer is: B
Explanation
\(f(x) = x^{2} + 1\) and \(g(x) = x - 2\)
\(f o g = f(g(x)) = f(x - 2) = (x - 2)^{2} + 1 \)
= \(x^{2} - 4x + 4 + 1 = x^{2} - 4x + 5\)