Math Questions and Answers

Start Your Free Trial

`f(x) = ln(x - 3)` Use the derivative to determine whether the function is strictly monotonic on its entire domain and therefore has an inverse function.

Expert Answers info

Lix Lemjay eNotes educator | Certified Educator

calendarEducator since 2012

write1,295 answers

starTop subjects are Math and Science


Take note that a function is strictly monotonic if it is increasing on its entire domain or decreasing on its entire domain.

For our function,


to determine if it is strictly monotonic, let's first figure out its domain.

Take note that in logarithm, its argument should be above zero. So to get its domain, set its argument x-3 greater than zero.



So the domain of the given...

(The entire section contains 236 words.)

Unlock This Answer Now

check Approved by eNotes Editorial