$g ( x ) = \frac { x + 7 } { x ^ { 2 } - 6 }$
A) y=6
B) y=0
C) y=-7
D) none

Name: $g ( x ) = \frac { x + 7 } { x ^ { 2 } - 6 }$ A) y=6 B) y=0 C) y=-7 D) none
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Question

$g ( x ) = \frac { x + 7 } { x ^ { 2 } - 6 }$
A)  y=6 
B)  y=0 
C)  y=-7 
D) none

Quizplus · Accepted Answer

The denominator of the function is zero when x = sqrt(6) and x = -sqrt(6). Therefore, the function is undefined at these points and has vertical asymptotes at x = sqrt(6) and x = -sqrt(6). The function also has a horizontal asymptote at y = 0.

g(x)=x+7x2−6g ( x ) = \frac { x + 7 } { x ^ { 2 } - 6 }g(x)=x2−6x+7​

$g ( x ) = \frac { x + 7 } { x ^ { 2 } - 6 }$