How do you find the inverse of #f(x) = 18 + ln(x)#?

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Answer 1 · 2016-02-04T15:19:50

#y=e^(x-18)#

Start from the given equation:

Let #y=f(x)#

#y=18+ln x#

interchange the variables

#x=18+ln y#

Solve for y in terms of x:

#x-18=ln y#

#e^(x-18)=e^ln y#

#e^(x-18)=y#

#y=e^(x-18)#

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