# What is the domain and range of #g(x)= 2/ (x-1)#?

Domain:

Range:

The domain of the function will be restricted by the fact that the denominator cannot be equal to zero.

The range of the function will be restricted by the fact that this expression cannot be equal to zero, since the numerator is a constant.

graph{2/(x-1) [-7.9, 7.9, -3.95, 3.95]}

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The domain of the function g(x) = 2/(x - 1) is all real numbers except x = 1, because division by zero is undefined.

The range of the function g(x) = 2/(x - 1) is all real numbers except y = 0, because the function will never equal zero since the numerator is always 2.

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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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