# How do you find the vertical, horizontal or slant asymptotes for #g(x) = [(3x-1)(x-5)^2] / [x(4x-1)(2x-7)]#?

##### 1 Answer

Nov 8, 2016

There are 3 vertical asymptotes

There is a horizontal asymptote

#### Explanation:

As we cannot divide by (0), there are 3 vertical asymptotes,

As the degree of the numerator

So, there is a horizontal asymptote

graph{(3x-1)(x-5)^2/((x)(4x-1)(2x-7)) [-10.09, 15.22, -6.06, 6.6]}