On x-axis, y = 0
We have:
3 / (x - 1)(x - 4) = 0, which has no solution. This means there is no x-intercept.
On the y-axis, x = 0.
We have:
3 / (0 - 1)(0 - 4) = 3 / (-1)(-4) = 3 / 4
Thus, the only y-intercept is (0, 3/4).
There is no horizontal asymptote.
However, there are vertical asymptotes at x = 1 and x = 4, since the denominator will be zero for these values of x.
This is a sketch: http://www.wolframalpha.com/input/?i=y+%3D+3%2F%5B%28x-1%29%28x-4%29%5D