A function g(x) has the following characteristics:

Question

1) It is rational with a quadratic polynomial in both the numerator and the denominator.

2) It has a removable discontinuity at x=1 and the limg(x) as x approaches 1 is -1/9

3) The graph of g(x) has a vertical asymptote at x=5

4) The graph of g(x) has a single x-intercept at x=2

Use this information to find:

1. g(x)
2. g(0)
3. Limg(x) as x approaches infinity