Write a possible rational function `h` with a hole at `x = 5`, a vertical asymptote at `x = -1`, a horizontal asymptote at `y = 2` and x-intercept at `x = 2`.

Explanation

Since h has a hole at x = 5 , both the numerator and the denominator have a zero at x = 5. Also the vertical asymptote at at x = -1 means the denominator has a zero at x = -1. An x-intercept at x = 2 means the numerator has a zero at x = 2 . Finally, the horizontal asymptote y = 2 means that the numerator and the denominator have equal degree and the ratio of their leading coefficients is equal to 2. Hence
`h(x)=(2(x-5)(x-2))/((x-5)(x+1))`
The graph of h is shown below, check the characteristics.