Use the given function $$ f $$ to answer parts (a) through (f) below. $$ f(x)=e^{x-3}+1 $$ (a) Find the domain of $$ f $$. The domain of $$ f $$ is (Type your answer in interval notation.)

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1. The given function is 
   $$
   f(x) = e^{x-3} + 1.
   $$

2. The expression $$ e^{x-3} $$ is an exponential function. Exponential functions are defined for all real numbers.

3. Adding 1 to $$ e^{x-3} $$ does not restrict the domain.

4. Therefore, the domain of $$ f $$ is all real numbers.

The domain in interval notation is:
$$
(-\infty, \infty)
$$
The domain of $$ f $$ is all real numbers, which in interval notation is $$ (-\infty, \infty) $$.

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.)