F(x)=x^2/(x-2)(x-1), the degree of the numerator and the degree of the denominator equal and the quotient of their coefficient equal to 1(horizontal asymptote means that the lines approach a certain number when the input approaches positive or negative infinity)
and when plugging in 2 or 1 as input, the output is undefined.
X=-4 you have to substitue first so you put the equation where the X is and then you would distribute and then add the numbers that have the common exponent
The request is to find the intersection of the two sets. By definition, the intersection of two sets is another set, composed by all the elements appearing in both sets.
In other words,
is the set of all elements that P and Q have in common.
P contains all the numbers from 0 to 9, V contains all the odd numbers between 1 and 19. So, their intersection will be the odd numbers between 0 and 9, i.e.

Time taken to drive to her grandparents house = 6 5/6 hours
We convert this mixed into improper fraction, we get = 41/6 hours
Time taken to drive to her grandparents house = 41/6 hours
Time taken to drive back = 8 2/9 hours
We convert this mixed into improper fraction, we get = 74/9 hours
Time taken to drive back = 74/9 hours
Difference between the two = 74/9 - 41/6 = (148-123)/18 = 25/18 hours = 1 7/18 hours
Therefore it took 1 7/18 hours longer to drive back.