The answer is B. It’s not too difficult
I watch anime and write fanfiction :). I have to pass my finals for math and english before I become ungrounded cause I have D's in those two subjects but other than that yeah hi :)
The union of a collection of sets is the set of all elements in the collection.
We have B = {a, l, g, e, b, r} and C = {m, y, t, h}
<h3>B ∪ C = {a, l, g, e, b, r, m, y, t, h}</h3>
= (16x3 - 8x2 + 4x4) / 2x
= 4x * (4x2 - 2x + x3) / 2x
= 2 * (4x2 - 2x + x3)
= 8x2 - 4x + 2x3
Answer A
For

to be continuous at

, you need to have the limit from either side as

to be the same.


If

and

, then the limit from the right would be

, so the answer to part (1) is no, the function would not be continuous under those conditions.
This basically answers part (2). For the function to be continuous, you need to satisfy the relation

.
Part (c) is done similarly to part (1). This time, you need to limits from either side as

to match. You have


So,

and

have to satisfy the relation

, or

.
Part (4) is done by solving the system of equations above for

and

. I'll leave that to you, as well as part (5) since that's just drawing your findings.