Question 334153
{{{(4+(4/x) - (3/x^2)) / (4 -(8/x) + (3/x^2))}}}
{{{((4x^2 + 4x - 3)/(x^2)) / ((4x^2-8x +3)/(x^2))}}}
{{{(4x^2 + 4x - 3)/ (4x^2-8x +3)}}}
{{{((2x-1)(2x+3))/((2x-1)(2x-3))}}}
{{{(2x+3)/(2x-3)}}}

See the plot here --> http://www.wolframalpha.com/input/?i=%284%2B%284%2Fx%29+-+%283%2Fx^2%29%29+%2F+%284+-%288%2Fx%29+%2B+%283%2Fx^2%29