Answer:
Domain → (-∞, -1)∪(-1, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Given function is,

This function is not defined when the denominator is zero.
2x + 2 = 0
2x = -2
x = -1
Therefore, x = -1 is not in the domain of this function.
And the domain will be,
(-∞, -1)∪(-1, ∞)
For all values of x (except x = -1) we get some output values (value of
).
Therefore, range of the function will be (-∞, ∞).
Answer:
24
Step-by-step explanation:
Refer to the pic above.
Concepts used :
1. Trigonometric Properties
2. Domain limitation
3. assumption
Answer: 
Step-by-step explanation:
Given
New mail carrier takes 4 hours for delivery i.e.
New mail carrier completes
part of work in 1 hour
Old mail carrier takes 3 hours for delivery i.e.
mail carrier completes
part of work in 1 hour
If they work together, they complete the work in x hours i.e.

Answer:
George made the first mistake by multiplying by 7 instead of 8
Step-by-step explanation:
The total cars needed to have a mean of 24:
24 x 8 = 192
Total cars sold during the seven months:
18 + 22 + 26 + 12 + 25 + 20 + 19 = 142
Subtract the total cars sold from the total cars needed:
192 - 142 = 50
George needs to sell 50 cars in the eight month in order to have an average of 24 cars sold per month.