At what value of x does the graph of the follow function F(x) have a vertical asymptote?
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Hello!
x² + 6x + 1 = x - 3
Bring all terms to one side by subtracting x and adding 3:
x² + 6x - x + 1 + 3 = x - x - 3 + 3
x² + 5x + 4 = 0
Factor:
(x + 4)(x + 1) = 0
Set each factor to 0:
x + 4 = 0
x = -4
x + 1 = 0
x = -1