Question

Find the vertical and horizontal asymptotes.
y=(2x-5)/(|3x+2|)

Answer 1

the vertical asymptote is where the denominator is zero

Answer 2

solve 3x + 2 = 0 to find vertical asymptote

Answer 3

using the limit :horizontal asymptotes.:\[\lim_{x \rightarrow \infty}(2x-5)/(|3x+2|)=\frac{ 2 }{3 }\],y=2/3
vertical asymptote:3x+2=0,x=-2/3

Answer 4

Thank you :)