Two math questions..?

Question

Find all asymptotes and holes.

y=(x-1)(x+5) <== that is over (x-6)(x-2)
(x-6)(x-2)

I don't whether it's a normal asymtote, slant, or hole. I also don't know how to start it to figure out the Vertical and Horizontal.

2) The oil boom is on in the isolated frontier territory. Last year 25% of the women in the territory got married, whereas 2.4% of the 1250 men married these local ladies. Assuming no bigamy occurred, how many women are in the territory?

Answer 1

For 2), figure out how many men got married. (It's 35) Then the same number of women got married. The total number of women is 4 times the number who got married. (140)

For 1), the function blows up when the denominator goes to 0, namely at x = 6 and x = 2. That's where you get vertical asymptotes. I guess your teacher is calling those points holes.

I'd further guess that if you look at the vertical asymptotes of 1/y, you'd find the horizontal asymptotes of y. :)