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

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

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:

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

Open parenthesis and simplify

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

~ Padoru

Step-by-step explanation:

hello :

if f(x) = x² + 1

f(f(x)) = f( x² + 1)  = (x² + 1)² +1

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1