Question

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

Answer 1

`x^(4)` + 2x² + 2

Explanation:

To obtain f(f(x)), substitute x = f(x) into f(x), that is

f(f(x)) = f(x² + 1) = (x² + 1)² + 1 =
`x^(4)` + 2x² + 1 + 1 =
`x^(4)` + 2x² + 2