What is the domain of $$ f(x)=\frac{1}{x} $$ ? What is its range? The domain of $$ f(x)=\frac{1}{x} $$ is (Type your answer in interval notation.)

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The function $$ f(x) = \frac{1}{x} $$ is defined for all real numbers except for $$ x = 0 $$, since division by zero is undefined. Therefore, the domain of $$ f(x) $$ is:

$$
(-\infty, 0) \cup (0, \infty)
$$

Next, let's determine the range of $$ f(x) $$. The function $$ f(x) = \frac{1}{x} $$ can take any real value except for $$ 0 $$. As $$ x $$ approaches $$ 0 $$ from the positive side, $$ f(x) $$ approaches $$ +\infty $$, and as $$ x $$ approaches $$ 0 $$ from the negative side, $$ f(x) $$ approaches $$ -\infty $$. Therefore, the range of $$ f(x) $$ is:

$$
(-\infty, 0) \cup (0, \infty)
$$

In summary:
- The domain of $$ f(x) = \frac{1}{x} $$ is $$ (-\infty, 0) \cup (0, \infty) $$.
- The range of $$ f(x) = \frac{1}{x} $$ is also $$ (-\infty, 0) \cup (0, \infty) $$.
The domain and range of $$ f(x) = \frac{1}{x} $$ are $$ (-\infty, 0) \cup (0, \infty) $$.

What is the domain of \( f(x)=\frac{1}{x} \) ? What is its range? The domain of \( f(x)=\frac{1}{x} \) is (Type your answer in interval notation.)

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