Final answer:
The range of f(x) = |x-1| / (x-1) is all real numbers except for 1.
Step-by-step explanation:
The range of the function f(x) = |x-1| / (x-1) is all real numbers except for 1.
To calculate the range, we need to consider the possible values that the function can output. The denominator, (x-1), determines the values that the function cannot take as it would make the function undefined.
Therefore, the range is represented as (-∞, 1) U (1, +∞).
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