find the horizontal asymptote of the graph of y=(-2x^6+5x+8)/(x^2+5x+6)

Question

dumbcow · Answer

may i ask what class you are in?

anonymous · Answer

Algebra 2B

dumbcow · Answer

ok notice the exponent in numerator (6) is higher than denominator (2)
when this occurs there is no horizontal asymptote or it doesn't exist

anonymous · Answer

Omg thank you I forgot about that rule.

anonymous · Answer

can you help with another ?

dumbcow · Answer

if exponent in denominator is higher --> asymptote is y=0

if same  --> asymptote is ratio of leading coefficients

dumbcow · Answer

sure but if you use those 3 rules you should be fine

anonymous · Answer

Simplify the rational expression. State any restrictions on the variable.

(t^2+2t-24)/(t^2-36)

    t-2/t-3, t doesn't = 3
    t-4/t-6,  t doesn't = 6
    t-2/t-3,  t doesn't = -6,  t doesn't = 3,  t doesn't = 6
    t-4/t-6,  t doesn't = -6,  t doesn't = 6

I picked D

dumbcow · Answer

D is correct