Question

F(x) = x² + 1. What is f(f(x))? A) x^4 + 2x² + 1 B) x + 2x² + 2 C) 0 D) 1

Answer 1

To find f(f(x)), you need to substitute f(x) into itself:

f(f(x)) = (x² + 1)²

Now, let's expand this expression:

f(f(x)) = (x² + 1)² = x⁴ + 2x² + 1

So, the correct answer is:

A) x⁴ + 2x² + 1