What are the domain, range, and asymptote of h(x=6^x-4

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The exponential form that you have listed does not nor will it ever contain any Vertical Asymptotes.
However it does have a Horizontal Asymptote. In order to find that we will use the form of y = k where k = 0 making 0 our Horizontal Asymptote.
For the domain we don't have any defined/undefined points so, I assume the kind of answer you are looking for is all real numbers. As the value we would get would be..
For the range we use the format f(x) > k  where we know k = 0, therefore our range is f(x) = 0. Or infinity. 0 is most applicable.

1. 3/6 or 1/22. 1/123. 1/84. 1/105. 2/12 or 1/6