consider the function f(x) =`1(1+(1)/(x))^(x)`
The domain of f(x) is

Explanation

To find the domain of the function \( f(x) = \left(1 + \frac{1}{x}\right)^x \), we need to determine the values of \( x \) for which this function is defined.

### Step-by-Step Solution:

1. **Identify the function**: We have \( f(x) = \left(1 + \frac{1}{x}\right)^x \).

2. **Determine the restrictions on \( x \)**: The term \( \frac{1}{x} \) is defined for all \( x \) except \( x = 0 \). Therefore, we need to exclude \( x = 0 \) from the domain.

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