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3241004551 [841]
3 years ago
8

If G-1(x) is the inverse of G(x), what is the value of G-^1(G(x))?

Mathematics
2 answers:
vlada-n [284]3 years ago
8 0

Answer:

x

Step-by-step explanation:

If you multiply a function and its inverse, you will will always get x back.

f-1( f(x) ) = x

kodGreya [7K]3 years ago
6 0

Answer:

the value of G^-1(G(x)) is x

Step-by-step explanation:

We define G^-1(x) as the inverse of G(x), when we talk about functions inverse does not work like with the numbers, this means that G^-1(x) is not equal to 1/G(x).

Inverse means that if:

G(x) = y

then:

G^-1(y) = x

then if we have:

G^-1(G(x)) = G^-1(y) = x

so when we evaluate a given function in its inverse, the result is the input of the function.

And is the same in the case:

G(G^-1(x)) = x

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A bookstore marks up the price of a book by 25% of the cost from the publisher. Therefore, the
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Answer:

(A)

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Step-by-step explanation:

Given:

P(x) = 1.053(x+0.25x)

P(60) = 1.053(60+0.25*60)

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Since x is the cost from the publisher, when the bookstore spends $60 on a textbook, the student pays $78.98.

<u>The correct option is A.</u>

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3 years ago
Which equation is equivalent to 3 = 87 - h?
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h = 84

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A professor's son, having made the wise decision to drop out of college, has been finding his way in life taking one job or anot
Trava [24]

Answer:

88.88% probability that it endures for less than a year and a half

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 66, \sigma = 10

The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?

One year has 52.14 weeks. So a year and a half has 1.5*52.14 = 78.21 weeks.

So this probability is the pvalue of Z when X = 78.21.

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Z = 1.22 has a pvalue of 0.8888

88.88% probability that it endures for less than a year and a half

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