inverse equation

Question

for the function Q(X) = 6e^0.04(x) does Q^-1 exist?

Answer 1

It is simply the inverse.  Switch places with x and y.

 

x = 6e^0.04y

 

 

Solve for y.

 

x / 6 = e^0.04y

 

ln(x / 6) = 0.04ylne

 

ln(x / 6) = 0.04y

 

ln(x/6) / 0.04 = y

 

 

Q^-1 = ln(x/6) / 0.04