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3 years ago

If f(x)=x+7 and g(x)=1/x-13, what is the domain of (f o g)(x)

Mathematics

1 answer:

astra-53 [7]3 years ago

8 0

(f o g)(x) = 1/(x - 13) +7
domain of the function is all real x except x = 13

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Without solving, determine whether the solution of x = 21 is greater than or less than 21. Explain.

astraxan [27]

Answer:

Without solving, the solution is greater than 21. The can be proven because a fraction of x is equal to 21, therefore x cannot be less than 21.

Step-by-step explanation:

7 0

2 years ago

Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th

denpristay [2]

Answer:

(1) Correct option is B.

(2) Correct option is C.

Step-by-step explanation:

The information provided is:

$n_{1}=200,\ \bar x_{1}=22.7,\ s_{1} = 4.5\\n_{2}=200,\ \bar x_{2}=19.7,\ s_{2} = 4.3$

The (1 - α)% confidence interval for the difference between two mean is:

$CI=\bar x_{1}-\bar x_{2}\pm t_{\alpha/2, (n_{1}+n_[2}-2}\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }$

The critical value of t is:

$\alpha /2=0.05/2=0.025$

degrees of freedom $=n_{1}+n_{2}-2=200+200-2=398$

$t_{\alpha/2, n_{1}+n_{2}-2}=t_{0.025, 398}=1.96$

Compute the 95% confidence interval for the difference between two mean as follows:

$CI=22.7-19.7\pm 1.96\sqrt{\frac{4.5^{2}}{200}+\frac{4.3^{2}}{200} }\\=3\pm0.8624\\=(2.1376, 3.8624)\\\approx(2.14, 3.86)$

Thus, the 95% confidence interval, (2.14, 3.86) implies that the true mean difference value is contained in this interval with probability 0.95.

Correct option is B.

The null value of the difference between means is 0.

As the value 0 is not in the interval this implies that there is a difference between the two means, concluding that priming does have an effect on scores.

Correct option is C.

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3 years ago

Eight less than the product of 7 and a number is 3. Use the variable w for the unknown number

Tpy6a [65]

W = unknown number
7w - 8 = 3 (product of 7 and a number, w, subtract 8) is 3
7w = 11
w = 11/7

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3 years ago

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-5/2 x 5/7 help me i bad at math

saw5 [17]

Answer:

Step-by-step explanation:

assuming that the X is a multiplication symbol and not a variable, because the multiplication symbol is * not x, 5*5/2*7=25/14=1 and 11/14

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3 years ago

Write the word sentence as an inequality. Then solve the inequality.

Agata [3.3K]

The solution is x>18.

The problem tells us that 3 less than a number: x-3
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Please consider giving brainliest answer and a thanks to the answers you find more helpful! :)

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3 years ago

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