The function f(x) = (x-5)^2 is not one-to-one. Identify a restricted domain that makes the function one-to-one and find the inverse function. I know the answer is x is less than or equal to 5 and f^-1(x) = 5+sqrt x-2 but I don't know why. PLEASE EXPLAIN!!

A(t)=728(1+0.04)^t how much money did aditya originally invest

Aprojectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 704t. after how many seconds does the projectile take to reach its maximum height?

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.