F(x) = x² + 1
What is f(f(x))?

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 -->

f(f(x)) = (x^4) + 2(x^2) + 2

x⁴ + 2x² + 2

Step-by-step explanation:

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

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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