Multiply and simplify x-1/ x^2+2x+1 x x^2-1/ x+1

Given f(x) = 17-x^2what is the average rate of change in f(x) over the interval [1, 5]?

Which facts are true for the graph of the function below? check all that apply. f(x) = log8 x

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?