SOLUTION: FIND THE OBLIQUE ASYMPTOTE, IF ANY, OF THE RATIONAL FUNCTION. f(x)=x squared+9x-9 over x-6 A)y=x+3 B)None C)x=y+15 D)y=x+15

Algebra ->  Test -> SOLUTION: FIND THE OBLIQUE ASYMPTOTE, IF ANY, OF THE RATIONAL FUNCTION. f(x)=x squared+9x-9 over x-6 A)y=x+3 B)None C)x=y+15 D)y=x+15      Log On


   

Question 141502: FIND THE OBLIQUE ASYMPTOTE, IF ANY, OF THE RATIONAL FUNCTION.
f(x)=x squared+9x-9 over x-6
A)y=x+3
B)None
C)x=y+15
D)y=x+15
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
First of all, since the degree of the numerator exceeds the degree of the denominator by 1 (2nd degree trinomial divided by a 1st degree binomial), there is a linear oblique asymptote. (now you know that answer B is incorrect)

Second, perform the polynomial long division process dividing the numerator by the denominator. Discard any remainder and set y equal to the quotient to obtain the equation of the oblique or slant asymptote. (now you know that answer C is incorrect. Now all you have to figure out is whether the constant term on the quotient of x%5E2%2B9x-9 divided by x-6%29 is +3 or +15 and you will be able to decide between answer A and answer D.)

Third, please stop typing your questions in ALL CAPS. It is annoying and rude because it is the electronic communications equivalent of shouting. You wouldn't walk into my office and ask your question at the top of your lungs, so don't do it here.