F(x) = x^2+1 g(x) = x^2+1 What is f(g(2))?

Answer 1

1. With compositions, you work your way inside-out, so start with finding g(2).
2. g(2) = 2² + 1 = 5
3. We can now replace the g(2) portion in f(g(2)) with the value 5 which we found above.
4. f(g(2)) = f(5) = 5² + 1 = 26
5. Therefore, f(g(2)) = 26