Question

6. Find f(f(x)) if f(x) = x2 + 1

Answer 1

Explanation:

hello :

if f(x) = x² + 1

f(f(x)) = f( x² + 1) = (x² + 1)² +1

Answer 2

Hello there! We are given the following equation and want to solve for f(f(x))

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

f(f(x)) will be replacing the "x" in f(x) with the entire equation of f(x), it sounds a bit complicated, but this is what it will look like:

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

Using FOIL or the formula for squaring a binomial gives us:

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

Open parenthesis and simplify

`= x^4+2x^2+2`

This should be your answer. Let me know if you need any clarifications, thanks!

~ Padoru