Domain/Asymptote Qs. Pic attached. WILL MEDAL AND FAN! Please?

Question

hhopke · Answer

attachment

hhopke · Answer

The first box on the picture is for the domain written as a sentence and the second box is for the horizontal asymptote in equation form.

hhopke · Answer

@Directrix?

directrix · Answer

The domain is the acceptable values of t for the function.

It is not permitted to have zero as a denominator in a fraction.

Solve this for t:  -4t - 16 = 0  @hhopke

Once you find that value of t, it must be excluded from the domain.

hhopke · Answer

So am I just getting x=-4 for absolutely no reason? Or is the online answer thing glitching?

hhopke · Answer

attachment

directrix · Answer

There is no x here:

-4t - 16 = 0 

What is the value of t that causes -4t - 16 = 0  become zero?

hhopke · Answer

Oh my god. I'm a total moron- the thing was looking for t=-4. Oops! :) Thanks so much for the help! :) :) :)

directrix · Answer

Why did you type in x for the first answer? The variable is t in the first part.

directrix · Answer

t=-4 is correct for the first part.

Work slower and read everything twice. These questions are tricky.

hhopke · Answer

Yeah... I'm surviving off of 3 hours of sleep a night. Apparently it's an actual problem. :)

hhopke · Answer

Thanks again!