"range" is defined as the possible values of the dependent variable. To find this, look at "end behavior"--AKA limits.
for this problem, h(x) becomes undefined at x = 11. Otherwise, look at what happens for large positive x. On the bottom, the -11 becomes insignificant, leaving just 2x/x = 2
For large negative x, the limit is also 2
Note that these are asymptotes, meaning that the function never actually gets there.
So, the range is simply h(x) ≠ 2
CHECK by graphing