Help with inverse function conceptual question?
Let P = 25 ln(t) give the annual profit of a company (in thousands of dollars) t years after its formation. What is P^-1(37) and what does this value represent? Round to the nearest whole number and include units.
I think the answer is
#P^-1(37)# is the number of years after 2025 at which there were $37,000 of annual profit.
Am I correct?
Let P = 25 ln(t) give the annual profit of a company (in thousands of dollars) t years after its formation. What is P^-1(37) and what does this value represent? Round to the nearest whole number and include units.
I think the answer is
Am I correct?
1 Answer
Nov 12, 2017
Explanation:
If
#25 ln(t) = 37#
So:
#ln(t) = 37/25#
and:
#t = e^(37/25) ~~ 4.392# years after formation.
That is