# How do you find the domain and range of #f(x)= 2/(x-5)#?

The domain is

Moving things around

In this case,

graph{2/(x-5) [-18.02, 18.03, -9.01, 9.01]} is displayed.

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The value that x cannot be is obtained by equating the denominator to zero and solving the function; otherwise, f(x) would become undefined.

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Domain: (x \neq 5) (All real numbers except 5)

Range: (f(x) \neq 0) (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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