Question
Find any vertical asymptotes 5x+8/-5x^2-8x
Answers
Answered by
GPT 3.5
To find the vertical asymptotes of the function 5x + 8 / -5x^2 - 8x, we need to determine the values of x for which the denominator becomes zero since division by zero is undefined.
Setting the denominator equal to zero and solving for x:
-5x^2 - 8x = 0
x(-5x - 8) = 0
This equation will be equal to zero when either x = 0 or -5x - 8 = 0.
For -5x - 8 = 0:
-5x = 8
x = -8/5
Therefore, the vertical asymptotes of the function are x = 0 and x = -8/5.
Setting the denominator equal to zero and solving for x:
-5x^2 - 8x = 0
x(-5x - 8) = 0
This equation will be equal to zero when either x = 0 or -5x - 8 = 0.
For -5x - 8 = 0:
-5x = 8
x = -8/5
Therefore, the vertical asymptotes of the function are x = 0 and x = -8/5.
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