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`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.

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`f(x)=ln(x-3)`

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,

`f(x)=ln(x-3)`

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.

`x-3gt0`

`xgt3`

So the domain of the given...

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