Answer: (-∞,-1) ∪ (0,+∞)
Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.
In this case, fog(x) means:
fog(x) = f(g(x))
fog(x) = 





This is the function fog(x).
The domain of a function is all the values the independent variable can assume.
For fog(x), denominator can be zero, so:

If x = 0, the function doesn't exist.



<u>Therefore, the domain of this function is: </u><u>-∞ < -1 or x > 0</u>
Step-by-step explanation:
here's the answer to your question
Answer:
Step-by-step explanation:
vector u=<(11-(-7),(-5-2)>=<18,-7>
as direction is opposite to u
so vector v=-3(18,-7)=(-54,21)
The total number of coins in Lucy's coin collection is equal to 80 coins.
- Let the total number of coins be C.
<u>Given the following data:</u>
- Percentage of quarters = 15%
- Total number of quarters = 12 quarters
To the total number of coins in Lucy's coin collection:
Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.
<u>Total number</u><u> of </u><u>coins</u><u>:</u>

C = 80 coins.
Read more on word problem here: brainly.com/question/24604067