Answer:
Function
Step-by-step explanation:
Two different X's could equal the same Y value so this is a function. Remember if there's multiple of the same input (x) equalling different outputs (y) then it is not a function. If there's multiple inputs (x) equalling the same output (y) it's just coincidence and works.
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Answer:
C. -1
Step-by-step explanation:
f(x) = 2/ (-x-1)
As we can see, f(x) is a fraction with two components: numerator (2) and denominator (-x-1).
According to the theorem, the fraction only exists when its denominator is different from 0.
So that in this situation, (-x-1) has to be different from 0
- x - 1 ≠0
=> - x≠ 1
=> x ≠ -1
So that if x = -1, (-x-1) = 0, making the fraction not exist.
So the input is not allowed is x = -1
7) Certainly there is a typo in the statement, just see that the expression of item (ii) is different from that of item (i). Probably the correct expression is:

. With this consideration, we can continue.
(i) Let E the expression that we are analyzing:

Since (x-1)² is a perfect square, it is a positive number. So, E is a result of a sum of two positive numbers, 2(x-1)² and 3. Hence, E is a positive number, too.
(ii) Manipulating the expression:

So, it's the case when E=0. However, E is always a positive number. Then, there is no real number x that satisfies the expression.
8) Let E the expression that we want to calculate:

Multiplying by (2-1) in the both sides:

Repeating the process, we obtain: