What are the excluded values of #y=2/(x-5)#?

Answer 1

#x=5#

The excluded values are values that make the equation undefined.

Since this function is a fraction, we have a special rule here. In fractions, we cannot make the denominator equal to #0#, otherwise it makes the fraction undefined.

#:.x-5!=0#

#x!=5#

So, the excluded value here is that #x=5#.

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Answer 2

Avery Alexander

The excluded value of y=2/(x-5) is x=5.

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Answer from HIX Tutor

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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