Step-by-step explanation:
I will do the first one as an example.
To find the inverse of y = f(x), simply switch x and y, then solve for y.
y = 3 + 2 ln x
x = 3 + 2 ln y
x − 3 = 2 ln y
(x − 3) / 2 = ln y
y = e^((x − 3) / 2)
So the inverse function is:
f⁻¹(x) = e^((x − 3) / 2)
The original function told us the amount of water as a function of time.
The inverse function tells us the time as a function of the amount of water.
