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How do you simplify and find the excluded values of #8/(x+2)#?

Answer 1

Abigail Allen

#"already in simplest form"#

#8/(x+2)# is in simplest form. There are no #color(blue)"common factors"# on the numerator/denominator.

The excluded value is x = 2 as this would result in the denominator being zero which would make the function undefined.

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Answer 2

Jameson Allen

To simplify the expression 8/(x+2), you can divide both the numerator and denominator by their greatest common factor, which is 1 in this case. This simplifies the expression to 8/(x+2).

To find the excluded values, you need to identify the values of x that would make the denominator equal to zero, as division by zero is undefined. In this case, the denominator is (x+2), so the excluded value would be x = -2.

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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.