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PSYCHO15rus [73]
3 years ago
14

Write the equation and state the domain/range

Mathematics
1 answer:
aliya0001 [1]3 years ago
6 0

Answer:

Step-by-step explanation:

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The question is for any rational function. I give one example in picture below. There we can see that first part of the "rule" is true. we indeed have vertical asymptotes at every x value where denominator is zero in this case x = 3 and x = 1. but second part of the rule is not true. we can see that if we inverse x ( we have factor that looks like a - x we get positive function between asymptotes.

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Which is shortest 0.81m 1.08m 0.8m 180cm 18cm
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How do you solve an absolute value equation?
Mkey [24]

The distance between two real numbers x,y is the absolute value of their difference, |x-y|. So the statement "all x that are 1/4 away from -6" is captured in the equation

|x-(-6)|=\dfrac14

or

|x+6|=\dfrac14

To solve, you can use the definition of absolute value: if x is not negative, then |x|=x; otherwise, |x|=-x.

So there are two cases to consider:

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x+6=\dfrac14\implies x=-\dfrac{23}4

2. Suppose x+6. Then |x+6|=-(x+6)=-x-6 and

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-6=-\dfrac{24}4, so the two solutions we found are correct because both -\dfrac{23}4 and -\dfrac{25}4 are indeed 1/4 away from -6.

- - -

For the question regarding inequality, you know that the absolute value must return a non-negative number. In other words, there is no x such that |x|.

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3 years ago
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