Recall that √x has a domain of x ≥ 0.
So, f(x) is defined as long as
(x + 1)/(x - 1) ≥ 0
• We have equality when x = -1
• Otherwise (x + 1)/(x - 1) is positive if both x + 1 and x - 1 are positive, or both are negative:
Then the domain of f(x) is
x > 1 or x ≤ -1
On the other hand, g(x) is defined by two individual square root expressions with respective domains of
• x + 1 ≥ 0 ⇒ x ≥ -1
• x - 1 ≥ 0 ⇒ x ≥ 1
but note that g(1) is undefined, so we omit it from the second domain.
Then g(x) is defined so long as both x ≥ -1 *and* x > 1 are satisfied, which means its domain is
x > 1
f(x) and g(x) have different domains, so they are not the same function.
Answer:
It’s important to develop social competence among young children because social competence allows children to interact and talk with their peers in a variety of ways. It’s also important to develop social competence among young children to maintain positive relationships with their peers and other adults.
The pun in the passage that relies on two definitions of the word lose are: C: To Misplace and D: To suffer the death of someone dear.
<h3>What is the pun in the passage?</h3>
Woman Bracknell in the passage depicted the image of Victorian sincerity and the despondency because she was egotistical, savage, moderate, and appropriate.
Now, in different ways, she addresses Wilde's assessment of Victorian high society antagonism, moderate and harsh qualities, and power.
Jack and Algernon strived to be dedicated but Jack found out that his folks were Lady Bracknell's sister and brother by marriage and that he is Algernon's more seasoned sibling named Ernest.
Finally the pun in the passage that relied on two definitions of the word lose are "To misplace" and "to suffer the death of someone dear"
Read more about pun in a passage at; brainly.com/question/11681694
The number of weeks is going to take the new employee to start making a profit is 33 weeks.
<h3>Calculate the total costs:</h3>
Costs related to hiring a new employee include
- $20,000 (new sink) + $27 per hour + $15 per dog groom.
Now, let's calculate the total costs per week
First 12 weeks
- $20,000 (new sink) + $540 per week + $300 (grom 20 dogs) =$20,840
After 12 weeks
- $20,000 (new sink) + $540 per week + $900 (grom 60 dogs) = $21,440
Calculate the total profit:
- $35 per dog
- First 12 weeks: $700
- After 12 weeks: $2100
Finally, calculate how much it will take this new employee to start getting a profit:
- Profit during the first 12 weeks: $8,400
- Costs during the first 12 weeks: $20,840 + 10,080
- Total balance: $21,920 - $8,400 = $13,520
Profit after the first twelve weeks
- Profits per week: $2100
- Costs: $13,520 + $1,440 per week
After 20 weeks
- Profits per week: $42,000
- Costs: $13,520 + $28,800 = $42,320
- Total balance: $42,320 - $42,000 = $300
This means that by the end of week 32 the employee has almost paid all the money and it is expected by week 33 he can start to make a profit.
Learn more about profit in: brainly.com/question/1494270
We have the expression <u>12h+30w</u> to represent an employees salary.
h represents the number of <u>hours worked</u>
w represents the number of <u>wagons sold</u>
<u />
To find the answer, simply insert the numbers given where their corresponding variables are in the expression.
12(6 hours) + 30(3 wagons)
(12*6) + (30*3)
72 + 90 = 162
So the employee earns $162
