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Natasha2012 [34]
1 year ago
12

If f(x)=√x - 7 and g(x) = 9x-5 which statement is true?​

Mathematics
1 answer:
Natali [406]1 year ago
3 0

Answer:-7 if you allow complex numbers is in the domain of f of g. It is not in the domain if you disallow complex values

Step-by-step explanation:the domain is the set of x variables that produce a value for y. If you plug in -7 for x you get a negative value in the radical producing an imaginary number. If you allow complex values then x is in the domain. Otherwise it is not

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[50 pts] An even number, n, times the next consecutive number, n + 2, is equal to 168. Find the original number.
ale4655 [162]

<u>We are given:</u>

An even number 'n', multiplied by the next consecutive even number is 168

<u>Solving for n:</u>

From the given statement, we can say that:

n(n+2) = 168                      [<em>n multiplied by the next even number 'n+2'</em>]

n² + 2n = 168

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We can see that we now have a quadratic equation, solving using splitting the middle term

n² + 14n - 12n - 168 = 0

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Here, we can divide both sides by either (n-12) OR (n+14)

Checking the result in both the cases:

(n + 14) = 0/(n-12)                     (n-12) = 0/(n+14)

n + 14 = 0                                 n - 12 = 0

n = -14                                      n = 12

Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n

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