The population of viruses in an influenza culture after t hours is given by the function

Question

x(t) = 3et/1.7
The cost y in dollars for a new automated microscope to count x viruses in a sample is
y(x) = ln 2x
Create the composite function that calculates the cost y in dollars of counting the number of
viruses in an influential culture after t hours.

Answer 1

y(x(t))
= ln(2x(t))
= ln (2*3e^(t/1.7))
= ln6 + ln e^(t/1.7)
= t/1.7 + ln6