Question

Which of the following are vertical asymptotes of the function y = 2cot(3x) + 4? Check all that apply.

A. x = pi/3
B. x = +/- pi/2
C. x = 2pi
D. x = 0

Answer 1

cot ( pi ) is undefined.
what would you plug in for x in >> cot( 3x ) to get cot (pi)?

Answer 2

cot (pi) = vertical retricemtote
cot (0) = vert. retricemptote.

Answer 3

So is the answer X=0? Or is there another correct answer?

Answer 4

cot (3x) = cot (pi) >> undefined values
3x= pi
x= ?
that's another solution

cot (3pi/2) is also undefined
3pi/2 = 3x
x=? another solution

cot (-3pi/2) is undefined
cot(-3pi/2) = cot(3x)
-3pi/2 = 3x
x=? another solution

Answer 5

so there are 3 right answers to your question.

Answer 6

x=pi/3

x=pi/ 2/3. That doesn't seem right.

Are you implying A, C, and D?

Answer 7

3pi/2 = 3x
divide 3 both sides
pi/2 = x

-3pi/2 = 3x
=pi/2 = x

not C, didn't mention 2pi :)

Answer 8

-pi/2 = x for the 2nd solution

Answer 9

so A, D, and B, yes?

Answer 10

My bad. Yeah I think that makes sense.