# How do you state the domain and range of #f(x)=x/(x-1)#?

The domain is

The range is

graph{x/(x-1) [-10, 10, -5, 4.995]}

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To state the domain and range of ( f(x) = \frac{x}{x - 1} ):

Domain: The domain of ( f(x) ) consists of all real numbers except ( x = 1 ), since division by zero is undefined.

Range: The range of ( f(x) ) is all real numbers except ( y = 1 ), because as ( x ) approaches 1, the function approaches positive or negative infinity.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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