Please help me... I really need help with the question above. Only real answers please
1 answer:
Answer:
they are NOT inverses
Step-by-step explanation:
f(g(x)) = (√(x+3))² -3 = x +3 -3 = x . . . . f is the inverse of g on g's domain
g(f(x)) = √(x²-3 +3) = √(x²) = |x| . . . . . . g is not the inverse of f, except on a restricted domain (x > 0)
Since the relationship is one-sided, we have to say that the functions are NOT the inverses of each other.
_____
Consider the attached graph.
Functions are inverses of each other if one is a reflection of the other in the line y=x (the dashed orange line). Here, only the "beaded" portion of f(x) (red) matches the reflection of g(x) (blue). The "inverses of each other" relationship is not complete.
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The best buy is from dealership A because the fees of dealership B is more expensive
<h3>The add-on options</h3>For the purpose of this exercise, the add-on options to select are:
- Air-conditioning
- Sunroof
- GPS
- Bluetooth
- Power door and window
The total amount of the add-on options is:
Total = $1000 + $500 + $3500 + $500 + $750
Total = $6250
<u>The inequality</u>
This is represented using:
Base price * (1 + Tax) + Fees + Add-on total ≤ 20000
So, we have:
(1 + 6.75%) * x + 751.56 + 6250 ≤ 20000
<u>Solve for x</u>
We have:
(1 + 6.75%) * x + 751.56 + 6250 ≤ 20000
Evaluate the like terms
(1 + 6.75%) * x ≤ 12998.44
Divide both sides by (1 + 6.75%)
x ≤ 12176.52
The solution means that the base price of the car cannot exceed $12176.52 for dealership A
<u>The graph of the possible base price</u>
See attachment
<h3>Dealership B</h3>The total amount of the add-on options is:
Total = $500 + $750 + $2750 + $750 + $500
Total = $5250
<u>The inequality</u>
This is represented using:
Base price * (1 + Tax) + Fees + Add-on total ≤ 20000
So, we have:
(1 + 6.75%) * x + 1524.72 + 5250 ≤ 20000
<u>Solve for x</u>
We have:
(1 + 6.75%) * x + 1524.72 + 5250 ≤ 20000
Evaluate the like terms
(1 + 6.75%) * x ≤ 13225.28
Divide both sides by (1 + 6.75%)
x ≤ 12389.02
The solution means that the base price of the car cannot exceed $12389.02 for dealership B
<u>The graph of the possible base price</u>
See attachment
<h3>Where to buy from</h3>Buy from dealership A because the fees of dealership B is more expensive
Read more about inequality at:
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Answer:
The weight of 6 bottles = or
Step-by-step explanation:
Given:
Total number of bottles = 6
Weight of each bottle = pound
To find the total weight of 6 bottles.
Solution:
We can plot the number line for six bottles.
We can the plot the weights in another number line.
Each unit represents pound of weight.
As the number of bottles increase the number of pounds of weight increase by .
Thus, weight of 6 bottles =
pounds
Converting fraction to mixed number.
pounds
Or in decimals
Thus weight of 6 bottles = or
