Find the inverse function ft 90e04t Enter the exact answer

Find the inverse function. f(t) = 90e^0.4t Enter the exact answer. f^-1(t) =

Solution

As the question is not quite clear, but still i will try to answer it.

I think the question is to find the inverse function of f(t) = 90e^0.4t

Let y = 90e^0.4t => y/90 = e^0.4t => ln(y/90) = 0.4t => t = 2.5 * ln(y/90)

=> f ^-1(t) = 2.5 * ln(t/90)