3
Which is an asymptote of the graph of the function Y = tan(3/4x)

2)x=-2π/3

Step-by-step explanation:

The following options are missing:

1)x=-4π/3

2)x=-2π/3

3)x=3π/4

4)x=3π/2

The trigonometric function tan(x) has asymptotes at x = π/2 radian and x = -π/2 radian. Therefore, tan(3/4x) would have asymptotes at:

3/4x = π/2

x = π/2*4/3

x = 2π/3

or

3/4x = -π/2

x = -π/2*4/3

x = -2π/3