How do you find the inverse of #y=ln(x-2)#?

1 Answer
Jul 20, 2016

Answer:

#y=e^x+2#

Explanation:

To invert a function, we want to flip it across the line y = x.

#y=ln(x-2)#

Swap x and y:

#x = ln(y-2)#

Take exponential of both sides:

#y-2 = e^x#

#y=e^x+2#

Plotting in Mathematica to check gives:

enter image source here

which looks about right.