Question

use the given function f to answer parts (a) through (f). f(x)=\ln(x - 2)
(a) find the domain of f.
the domain of f is
(type your answer in interval notation.)

Explanation:

Step1: Recall domain of natural - log function

The argument of $\ln(u)$ must be $u>0$. Here $u = x - 2$.
So we set up the inequality $x-2>0$.

Step2: Solve the inequality

Add 2 to both sides of $x - 2>0$.
We get $x>2$.

Answer:

$(2,+\infty)$