Question

Please help!! Which two equations are the equations of vertical asymptotes of the function y = 5∕3 tan(3∕4x)?

A) x = 0 and x = 2π∕3
B) x = 4π∕3 and x = –4π∕3
C) x = 0 and x =4π∕3
D) x = 2π∕3 and x = –2π∕3

Answer 1

The answer is D) x=2TT/3and x =-2TT/3

Answer 2

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Answer:

D) x = 2π∕3 and x = –2π∕3

Explanation:

The tangent function has asymptotes at ±π/2, so the corresponding values of x are ...

(3/4)x = ±π/2

x = (±π/2)(4/3) = ±2π/3 . . . . matches choice D