SOLUTION: Find the x-coordinate of any holes for the following function. g(x)= x^2-4 ------- x^2+x-20 A. 2 B. -2 C. 5 D. 1 E. None of the above
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-> SOLUTION: Find the x-coordinate of any holes for the following function. g(x)= x^2-4 ------- x^2+x-20 A. 2 B. -2 C. 5 D. 1 E. None of the above
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Question 1028849
:
Find the x-coordinate of any holes for the following function.
g(x)= x^2-4
-------
x^2+x-20
A. 2
B. -2
C. 5
D. 1
E. None of the above
Answer by
jim_thompson5910(35256)
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x^2-4 factors to (x-2)(x+2)
x^2+x-20 factors to (x-4)(x+5)
Notice how there are no common factors shared between the numerator and denominator. So we cannot cancel any factors out.
No factors are canceled out which means there are
no holes
. Instead there are 2 vertical asymptotes (x = 4 and x = -5)
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Final answer:
E. None of the above
. There are no holes and instead 2 asymptotes.
(