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How many vertical asymptotes does the equation y = (x - 2)/(x^2 + 6x - 7)  have?

 Dec 23, 2020
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The  vertical asymptotes  will  occur at the  x values   produced by setting the denominator = 0   :

 

x^2  + 6x   - 7     =  0    factor

 

( x - 7) ( x + 1) = 0     set each factor to 0  and solve for x

 

x  -7   =  0                x  +  1   =   0

 

x  = 7                      x  = -1

 

These are the equations of  the vertical asymptotes

 

cool cool cool

 Dec 23, 2020

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