Find the range of the function `f(x)=abs(x-a)/(x-a)` , `x` is not equal to a

Explanation

To find the range of the function \( f(x) = \frac{|x - a|}{x - a} \) where \( x \neq a \), we can analyze the function based on the properties of absolute values.

### Step-by-Step Solution:

1. **Understanding the Function**:
The function involves an absolute value, which means we need to consider two cases based on the value of \( x - a \).

2. **Case 1: \( x - a > 0 \)** (i.e., \( x > a \)):
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