Use the given function $$ f $$ to answer parts (a) through (f) below. $$ f(x)=\ln (x-3) $$ (a) Find the domain of $$ f $$. The domain of $$ f $$ is $$ \square $$. (Type your answer in interval notation.)

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To find the domain of the function $$ f(x) = \ln(x - 3) $$, we need to determine the values of $$ x $$ for which the function is defined. The natural logarithm function $$ \ln(x) $$ is defined only for positive arguments. Therefore, we need:

$$
x - 3 > 0
$$

Now, let's solve this inequality step by step:

1. Add 3 to both sides:
   $$
   x > 3
   $$

This means that the function $$ f(x) $$ is defined for all $$ x $$ greater than 3.

In interval notation, the domain of $$ f $$ is:

$$
(3, \infty)
$$

Thus, the answer is:

The domain of $$ f $$ is $$ (3, \infty) $$.
The domain of $$ f $$ is $$ (3, \infty) $$.

Use the given function to answer parts (a) through (f) below.

(a) Find the domain of .
The domain of is .
(Type your answer in interval notation.)

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Use the given function to answer parts (a) through (f) below. (a) Find the domain of . The domain of is . (Type your answer in interval notation.)