Answer:
x ∈ (-∞ , -2) ∪ (1, 3)
Step-by-step explanation:
The expression is already factored. Note that for the polynomial that appears in the numerator
there are 2 roots:

For the polynomial that appears in the denominator there is 1 root:

Note that
does not belong to the domain of f(x) because it zeroes the denominator of the function and the division between zero is not defined.
With these three roots we do the study of signs to find out when
Observe the attached image
Note that:
when
when 
when 
Finally, we have the solution:
x ∈ (-∞ , -2) ∪ (1, 3)
Answer:
y=x^2-2
Step-by-step explanation:
It should be this one because if you have x squared it will be a parabola. A line should have a consistent slope. so Somethingx + y intercept =y
Answer:
LAST OPTION: 
Step-by-step explanation:
For this exercise it is important to remember the Power of a power property, which states that:

The expression given in the exercise is:

Therefore, in order to simplify it, you must apply the Power of a power property explained before.
Then, you get the following expression:

As you can notice, the expression obtained matches with the expression provided in the last option.
Answer:
The slope is 2.
Step-by-step explanation:
In order to find the slope of the line, we need to start by using the points in the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (20 - 10)/(6 - 1)
m = 10/5
m = 2
So the slope of this line would be 2