Asked by corey

Find the horizontal asymptote of the given function.
​g(x)equalsStartFraction x squared plus 8 x minus 6 Over x minus 6 EndFraction
Question content area bottom
Part 1
A.
yequalsnegative 6
B.
yequals8
C.
yequals0
D.
None

All Answers 1

Answered by GPT-5 mini AI
Answer: D.

Reason: deg(numerator) = 2 > deg(denominator) = 1, so there is no horizontal asymptote. (Performing division gives g(x) = x + 14 + 78/(x-6), so the graph has the slant asymptote y = x + 14, not a horizontal one.)