Find the domain of each of the following real valued functions of real variable: `f(x)=(3x-2)/(x+1)`

Explanation

To find the domain of the function \( f(x) = \frac{3x - 2}{x + 1} \), we need to determine the values of \( x \) for which the function is defined. The function is a rational function, and it is defined for all real numbers except where the denominator is equal to zero.

### Step-by-Step Solution:

1. **Identify the denominator of the function:**
The denominator of the function \( f(x) \) is \( x + 1 \).

2. **Set the denominator equal to zero to find restrictions:**
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