To solve this problem you must apply the proccedure shown below:
1. You have the following functions given in the problem above:

and

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2. You have that g(x) times f(x) can be written as g(x)*f(x). Therefore, you must multiply f(x) * g(x), as following:
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3. Applying the distributive property, you have:
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The answer is:
Answer:
see below
Step-by-step explanation:
The vertical asymptote is the up and down value it does not reach
y =0
The horizontal asymptote is the side value it does not reach
x =0
Problem 1
With limits, you are looking to see what happens when x gets closer to some value. For example, as x gets closer to x = 2 (from the left and right side), then y is getting closer and closer to y = 1/2. Therefore the limiting value is 1/2
Another example: as x gets closer to x = 4 from the right hand side, the y value gets closer to y = 4. This y value is different if you approach x = 0 from the left side (y would approach y = 1/2)
Use examples like this and you'll get the results you see in "figure 1"
For any function values, you'll look for actual points on the graph. A point does not exist if there is an open circle. There is an open circle at x = 2 for instance, so that's why f(2) = UND. On the other hand, f(0) is defined and it is equal to 4 as the point (0,4) is on the function curve.
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Problem 2
This is basically an extension of problem 1. The same idea applies. See "figure 2" (in the attached images) for the answers.
Answer:
Step-by-step explanation:
x - y = 34
x + y = 212
-------------------add
2x = 246
x = 246/2
x = 123 <=== 123 domestic
x + y = 212
123 + y = 212
y = 212 - 123
y = 89 <===== 89 foreign
Both of them are the first answer choice