Consider the equation 3p – 7 p = 13. what is the resulting equation after the first step in the solution?

Let f (x) = 1/x<br> and g(x) = x² – 3x. What<br> two numbers are not in the domain of fºg?

iren [92.7K]

For this case we have the following equations:

$f (x) = \frac {1} {x}\\g (x) = x ^ 2-3x$

We must find $(f_ {o} g) (x):$

By definition of composition of functions we have to:

$(f_ {o} g) (x) = f (g (x))$

So:

$(f_ {o} g) (x) = \frac {1} {x ^ 2-3x}$

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

$x ^ 2-3x = 0\\x (x-3) = 0$

So, the roots are:

$x_ {1} = 0\\x_ {2} = 3$

The domain is given by all real numbers except 0 and 3.

Answer:

x other than 0 and 3

8 0

3 years ago

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Choose at least three different careers you are interested in pursuing. Research the education level the career requires, the an

AveGali [126]

Answer:

The career planning process is ongoing and sequential. Since it is fluid rather than chronological, you move to the next step only when you are ready to do so, and you may move back and forth between steps at any given time. The career planning process is also cyclic. When career change is desired anytime during your work life, you may repeat the process once again. Data from the U.S. Bureau of Labor Statistics indicates that the majority of members of the labor force will make three to four major changes in their career during their 35 to 45 years of working. Because human beings are complex, each of us has unique aspirations, goals, potential for development, and limitations. Although we can follow the same process, career planning outcomes must be individualized.

Step-by-step explanation:

5 0

3 years ago

kamari opens a bank account with 250 five weeks her account balances 800 what was the average rate of change of her account bala

Anettt [7]

The answer is an average rate of change of 110 more dollars in her account per week. You find this by first subtracting the starting amount of 250 from the end amount of 800 that equals 550. then you divide that number by five, the number of weeks, to get the average rate of change.

3 0

3 years ago

Given Domain values of 09,-6,-3,0,1.5 and 3, find the corresponding range for the piecewise function below.

IRINA_888 [86]

Answer:

Domain and range » Tips for entering queries. Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask for the domain and range. domain of log(x) (x^2+1)/(x^2-1) domain; find the domain of 1/(e^(1/x)-1) function domain: square root of cos(x)

Step-by-step explanation:

4 0

3 years ago

You are drawing a map. Two cities on the map are 7 inches apart. You know the actual distance between them is 1,750 miles. What

swat32

Answer:

1 inch : 250 miles
1/15,840,000

Step-by-step explanation:

Map scale factors are usually written a couple of different ways. One of them is the number of miles represented by 1 inch. Here, that is ...

1750 mi/(7 in) = 250 mi/in

Written that way, the scale factor is 1 in : 250 miles.

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The other way the scale factor can be written is as a unitless ratio. That ratio is ...

$\dfrac{1\,\text{in}}{250\,\text{mi}}\times\dfrac{1\,\text{mi}}{5280\,\text{ft}}\times\dfrac{1\,\text{ft}}{12\,\text{in}}=\dfrac{1}{250\cdot 5280\cdot 12}=\dfrac{1}{15,840,000}$

The map scale factor is 1 in : 250 miles, or 1/15,840,000.

5 0

3 years ago

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