What is the range of the function f(x)= |x-1| x-1 ? - Vidyadip

Question

What is the range of the function $\text{f(x)}=\frac{|\text{x}-1|}{\text{x}-1}?$

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Answer

$\text{f(x)}=\frac{|\text{x}-1|}{\text{x}-1}=\frac{\pm(\text{x}-1)}{\text{x}-1}=\pm1$

Range of f = {-1, 1}

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