First you can see that the numerator has a solution at x =1.
Now you can simplify a bit your function
You must mention that the function is not defined at x=-2 though and keep that in mind.
You should see that around -1 there will be a vertical asymptote since you divide by .
Then you must check what is the long term behavior. If you know the rudiment of calculus this is easy, take de derivative and check for its value as
Else, you could argue that the higher order term at the top and the bottom have the same coefficient (1) giving you a slope of 1 for the oblique asymptote. The lower order term become less and less significant as x goes up (of dowm to negative infinity).
You can also take two very high value of x (e.g. altough in your case 200 would do the job) and take the slope between them. You can take a third point and do the same thing to be sure that the function is really constantly going up at these values.