Here is a nice, harmless rational function: F(x)=3/x-h + k Oh no! He seems to be missing some parts though. He was robbed of his asymptotes!

Luckily, he can remember what they were:
1. This function vertical asymptote was x=4
2. The functions horizontal asymptote was y=-6

Please recreate this function with those identifying features! Please make sure it looks like the function at the beginning of this problem.

The answer would be (c)

So the first thing we do is to multiply the top equation by 3. the reason i want to do this is i notice there will be a 6y on both equations and can possibly add/subtract them. so we get 6y = -3x + 27. adding that and the second equation we get 6x = 27-15 which is 12. divide by 6 and we get 2. ∴ x = 2. substituting 2 into the first equation we get 2y = -2 + 9 which is 7. divide by 2 and we get 7/2. ∴ y = 7/2, x = 2.

Two and nine tenthsfifty and thirty-two hundredths four and 16 thousandthsseven hundred twelve and 8 hundredths