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Nostrana [21]
3 years ago
9

Not sure how to work this

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0

Answer:

First ordered pair: (-4,-3)

Second ordered pair: (8,3)

Step-by-step explanation:

To find the missing coordinate, all we have to do is to plug it into the corresponding variable and solve.

First Ordered Pair

x-2(-3)=2                                   [multiply -2 and -3]

x+6=2                                       [subtract 6 on both sides]

x=-4

(-4,-3)

Second Ordered Pair

8-2y=2                                      [subtract 8 on both sides]

-2y=-6                                       [divide both sides by -2]

y=3

(8,3)

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In any case, the domain is restricted to values of the variable for which the function is defined. The value 1/0 is not defined, so the variable cannot allow the denominator to be zero. The denominator x-3 will be zero for x=3, so that value of the variable cannot be in the domain.

The domain is all real numbers except x=3.

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<em>Additional comments</em>

It is useful to become familiar with the domains of different functions. As we saw above, the reciprocal of 0 is undefined. The square root of a negative number is undefined. The log of a non-positive number is undefined. Trig functions are defined everywhere, but their inverse functions are not. Polynomial functions are defined everywhere, but ratios of polynomials have the same restriction on denominators that we see above.

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See Below.

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