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3 years ago

Prove that the inverse of f(x) is g(x), or f(g(x))

Mathematics

1 answer:

dybincka [34]3 years ago

7 0

Answer:

(1, 3) is on the graph of the function, then the point (3, 1) is on the graph of the inverse. That is, if you start with x = 1, you will go to y = 3; then you plug this into the inverse, and you'll go right back to x = 1, where you started from.

Step-by-step explanation:

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A person who is 5.8 feet tall is standing in a pool. the top of the person's head is 1.6 feet above the surface of the water. ho

slavikrds [6]

Let h = the depth of the pool (ft)

h feet of the person will be in the pool, and 1.6 feet of the person is above the water. Because the person is 5.8 feet tall, therefore
h + 1.6 = 5.8
h = 5.8 - 1.6 = 4.2 feet

Answer: 4.2 feet

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4 years ago

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jenyasd209 [6]

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3 years ago

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Ann [662]

Answer:

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Step-by-step explanation:

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3 years ago

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What is 5.6666 as a fraction

dalvyx [7]

Answer : 56666/10000

Step-by-step

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3 years ago

A manager records the repair cost for 4 randomly selected TVs. A sample mean of $88.46 and standard deviation of $17.20 are subs

WINSTONCH [101]

Answer:

a) The critical value is $z = 2.575$ .

b) The 99% confidence interval for the mean repair cost for the TVs is ($66.31, $110.61).

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ . This is our critical value

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

a. Find the critical value that should be used in constructing the confidence interval.

The critical value is $z = 2.575$ .

b. Construct the 99% confidence interval. Round your answer to two decimal places.

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample. So, in this problem

$M = 2.575*\frac{17.20}{\sqrt{4}} = 22.15$

The lower end of the interval is the mean subtracted by M. So it is 88.46 - 22.15 = $66.31

The upper end of the interval is the mean added to M. So it is 88.46 - 22.15 = $110.61

The 99% confidence interval for the mean repair cost for the TVs is ($66.31, $110.61).

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3 years ago