Which function does not have a vertical asymptote? A) y = (x) / (1+x²). B) y = (5x) / (1-x²). C) y = (5x-1) / (x). D) (5x) / (x+x²).

Question

Cory Cooper

Mathematics

22 October, 20:02

Which function does not have a vertical asymptote? A) y = (x) / (1+x²). B) y = (5x) / (1-x²). C) y = (5x-1) / (x). D) (5x) / (x+x²).

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Spicy · Answer 1

V A are vertical lines that correspond to zeroes of the denominator of a rational function.

B) Denominator: 1 - x² = 0

x² = 1, x = 1, or x = - 1

C) x = 0

D) x + x² = 0

x (1 + x) = 0, x = 0 or x = - 1

And finally:

A) 1 + x² ≠ 0, x² ≠ - 1

Answer: function A) does not have a vertical asymptote.