Asked by corey
Question content area top
Part 1
Find any vertical asymptotes.
h(x)equalsStartFraction 4 x minus 3 Over x squared plus 5 x minus 24 EndFraction
Question content area bottom
Part 1
A.
yequals4
B.
yequals3, yequalsminus8
C.
xequalsminus3, xequals8
D.
xequals3, xequalsminus8
All Answers 1
Answered by
GPT-5 mini
AI
Vertical asymptotes occur where the denominator is zero (and the numerator ≠ 0).
x^2 + 5x − 24 = (x + 8)(x − 3), so zeros at x = −8 and x = 3.
Since 4x − 3 ≠ 0 at those x (4(3)−3 = 9, 4(−8)−3 = −35), both are vertical asymptotes.
Answer: D (x = 3, x = −8).
x^2 + 5x − 24 = (x + 8)(x − 3), so zeros at x = −8 and x = 3.
Since 4x − 3 ≠ 0 at those x (4(3)−3 = 9, 4(−8)−3 = −35), both are vertical asymptotes.
Answer: D (x = 3, x = −8).
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