Answer:
f(f(x)) = (x^4) + 2(x^2) + 2
Step-by-step explanation:
f(f(x)) = f(x), with the equation plugged into itself.
That means that if f(x) = x^2 + 1, then:
f(f(x)) = (x^2 + 1)^2 + 1 -->
f(f(x)) = x^4 +2x^2 + 1 + 1 -->
x⁴ + 2x² + 2
f(x) = x² + 1
f(f(x)) = (f(x))² + 1
f(f(x)) = (x² + 1)² + 1
f(f(x)) = x⁴ + 2x² + 1 + 1
f(f(x)) = x⁴ + 2x² + 2
