HELP PLZ ASP

Choice B

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Work Shown:

note 1: A pair of (x-4) terms canceled

note 2: A pair of (x-2) terms canceled

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Extra info (optional section):

The fact that is to avoid a division by zero error in the simplified version of h(x).

I would argue that should be thrown in as well simply so that the domains match up perfectly with the original f(x) and g(x) functions.  

So I think the full domain should be that x is any real number but

Put another way: if x = 2 is allowed in h(x), then that clashes with the fact that it's not allowed in f(x). The same idea happens with x = 4 but with g(x) this time. It's possible your teacher glossed this fact over, or ran out of room.

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.