Answer:
- Discontinuity at (-1,6)
- The zero is at (-7,0)
Step-by-step explanation:
Given the function
, you need to factor the numerator. Find two number whose sum be 8 and whose product be 7. These are 1 and 7, then:
![f(x)=\frac{(x+1)(x+7)}{(x+1)}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B%28x%2B1%29%28x%2B7%29%7D%7B%28x%2B1%29%7D)
Then, the denominator is zero when ![x=-1](https://tex.z-dn.net/?f=x%3D-1)
Therefore,
does not belong to the Domain of the function. Then, (-1,6) is a discontinuity point.
Simplifying, you get:
![f(x)=x+7](https://tex.z-dn.net/?f=f%28x%29%3Dx%2B7)
You can observe that a linear function is obtained.
This function is equal to zero when
, therefore the zero of the function is at (-7,0).
Answer:
-3
Step-by-step explanation:
the coefficient of the x term is the slope in any equation that is in slope intercept form
Answer:
You can calculate for x by
Step-by-step explanation:
7.5 - 2.8 = 4.7
Hope this helps.
Answer:
![y = - 1](https://tex.z-dn.net/?f=y%20%3D%20%20-%201)
Step-by-step explanation:
on the y- intercept the value of x is zero
I don't see a table but I can give you the means to answer it yourself. The inverse function is represented by this:
![y= \frac{k}{x}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7Bk%7D%7Bx%7D%20)
where k is your constant. You are given a k value of 4. If you solve this for k then you will get xy=4. In your tables, multiply your x value by your y value within your coordinate points and if you get a product of 4 each time you multiply x by y, then that table is your answer.