Answer:
1/(x^2-9) + 1.
Step-by-step explanation:
It will be a fractional function with the denominator = 0 when x = 3 or -3.
Therefore the denominator could be x^2 - 9.
At high and low values of x the function will have an horizontal asymptote at y = 0 so to get an asymptote at x = 1 the function could be
1/ x^2-9) + 1.