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

Domain: all Real values excluding

Range: all Real values excluding

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Domain: (x \in \mathbb{R}, x \neq 1) Range: (f(x) \in \mathbb{R}, f(x) \neq 0)

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To find the domain and range of the function f(x) = 1 / (x - 1), we need to consider the restrictions on the input (x) and the output (f(x)).

Domain: The domain of the function f(x) is all real numbers except for the value(s) that make the denominator zero, since division by zero is undefined. In this case, the denominator x - 1 cannot be equal to zero, so x ≠ 1. Therefore, the domain of f(x) is all real numbers except x = 1.

Range: To find the range, we need to analyze the behavior of the function. As x approaches positive infinity or negative infinity, f(x) approaches 0. This means that the range of f(x) includes all real numbers except 0. Therefore, the range of f(x) is all real numbers except 0.

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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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