The vertical asymptotes of the function y = 2cot(3x) + 4 are A.x = π/3 C. x = 2π D.x = 0
How to determine the vertical asymptote?
The function is given as:
y = 2cot(3x) + 4
The above function is a cotangent function, represented as:
y = Acot(Bx +C) + D
By comparison, we have:
B = 3
The vertical asymptotes are then calculated using:
[tex]x = \frac{\pi}{B}n[/tex], where n are integers
Substitute 3 for B
[tex]x = \frac{\pi}{3}n[/tex]
Using the above format, the vertical asymptotes in the options are A.x = π/3 C. x = 2π D.x = 0
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