# How do you find the domain of #f(x)=3/(x-6)#?

With the exception of 6, all real numbers make up the domain.

graph{3/(x-6) [-5, 5, 10, 10]}

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To find the domain of ( f(x) = \frac{3}{x - 6} ), you need to identify any values of ( x ) that would make the denominator ( (x - 6) ) equal to zero. Setting the denominator equal to zero and solving for ( x ) gives:

[ x - 6 = 0 ]

[ x = 6 ]

Therefore, the domain of ( f(x) ) is all real numbers except ( x = 6 ). In interval notation, the domain can be expressed as ( (-\infty, 6) \cup (6, \infty) ).

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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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