When a new element x arrives, we compute f(x) and g(x), and we say x is in the set s if both f(x) and g(x) are 1. assume x is not in the set s. what is the probability of a false positive; i. e., the probability of saying that x is in s. identify this probability, correct to three decimal places, in the list below.?

How do you use the elimination method for this question? explain, because i really want to understand!

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Which exponential function has an initial value of 2? f(x) = 2(3x) f(x) = 3(2x)