Question

The function C(t) = 5t 0.1t + 3.3 models the amount of a drug in a persons bloodstream over a period of time. What is a reasonable domain for this function?

Answer 1

y = 50x/(x+33)
x≠-33
xy + 33y = 50x
33y = x(50-y)
33y/(50-y)= x

or y≠50

=> yϵ R - {50}

Answer 2

The answer is 0 < x < ∞

Explanation:

Since t represents the amount of time that has passed a reasonable domain is 0 < x < ∞.