If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is n = f(t) = 100⋅2 t/3 (a) Find the inverse of this function. f−1(n) = Explain its meaning in the context of this problem. This function tells us how long it will take to obtain n bacteria (given the number t). This function tells us how long it will take to obtain n bacteria (given the number n). (b) When (in hr) will the population reach 10, 000? (Round your answer to one decimal place.) hr
