# How do you simplify and find the excluded value of # (r + 6) / (r^2 - r - 6)#?

the excluded values are :

Given:

The denominator can be factorised giving

The excluded values will be when the denominator equals zero

Set

So the excluded values are :

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In higher mathematics these are called asymptotes.

excluded values

Graph of :

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To simplify the expression (r + 6) / (r^2 - r - 6), we can factor the denominator as (r - 3)(r + 2). Therefore, the simplified expression is (r + 6) / ((r - 3)(r + 2)).

To find the excluded value, we need to identify the values of r that would make the denominator equal to zero. In this case, the excluded values are r = 3 and r = -2, since plugging them into the denominator would result in division by zero.

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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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