Identify the horizontal asymptote of f(x) = quantity 7 x plus 1 over quantity 2 x minus 9

Question

anonymous · Answer

@camerondoherty

imstuck · Answer

There are rules about horizontal asymptotes.  Here is your function:$$\frac{ 7x+1 }{ 2x-9 }$$Is that it?

anonymous · Answer

yes thats how it looks

imstuck · Answer

ok the rules for the horizontal asymptotes are as follows:

imstuck · Answer

If the power of the numerator's x is less than the power of the denominator's x, then the x axis is the hor.asymptote (y = 0 line).
If the power of the numerator's x is equal to the power of the denominator's x, as yours is, the hor asymptote is the line y = a/b.  Now your a is your coefficient on the x in the numerator (7), and your b is the coefficient on the x in the denominator (2).  So your line is y = 7/2.  That is your case.
If the power of the x in the numerator is greater than the power of the x in the denominator, there is no hor asymptote.

anonymous · Answer

o ok thanks for the help appreciate it

imstuck · Answer

YW

anonymous · Answer

hey can you help  me with one more

anonymous · Answer

Identify the oblique asymptote of f(x) = quantity x squared minus 4 x plus 8 over quantity x plus 2