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Which of the following is the equation o...

Which of the following is the equation of an asymptote of `y=(3x^(2)-2x-1)/(9x^(2)-1)` ?

A

`x=-(1)/(3)`

B

`x=1`

C

`y=-(1)/(3)`

D

`y=(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Factor and reduce `(cancel((3x+1))(x-1))/(cancel((3x+1))(3x-1))`. Therefore a vertical asymptote occurs when `3x-1=0 or x=(1)/(3)`, but this is not an answer choice. As `x to oo, y to (1)/(3)`. Therefore, `y=(1)/(3)` is the correct answer choice.
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