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The asymptotes of the function g(x)=(x+2)/(x^2+2x-3) are...

a. vertical: x=-2, x=1; horizontal: y=0
b. vertical: x=-3, x=1; horizontal: y=0
c. vertical: x=-2, x=-3; horizontal: y=0
d. vertical: x=-3, x=1; horizontal: none

  • Math -

    vertical asymptotes exist when the denominator is zero, so
    x^2 + 2x - 3 = 0
    (x+3)(x-1) = 0
    x = -3, x = 1

    as x ---> infinity , g(x) = large/even larger ---> 0
    y = 0
    so it looks like b)

  • Math -

    THANKS!

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