Taletha is preparing for an exam in algebra ii. she knows she will be expected to determine if two functions are inverses of each other using composition of functions. which compositions would she use to prove f(x) and g(x) are inverse functions?

f ○ g(x) = and g ○ f(x) =
⊝

f ○ g(x) = x and g ○ f(x) =
⊝

f ○ g(x) = x and g ○ f(x) = x
⊝

f ○ g(x) = and g ○ f(x) = x

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297

Use composition to determine if (x) or h(x) is the inverse of f(x) for the limited domain x2-1.

Evaluate 8j -k+148j−k+14 when j=0.25j=0.25 and k=1k=1.