There is a discontinuity at 0 since you can’t divide cos x by 0. So that would be represented in interval notation at (-infinity, 0) U (0, infinity) replace infinity with the symbol
Given the domain {-4, 0, 5}, what is the range for the relation 12x 6y = 24? a. {2, 4, 9} b. {-4, 4, 14} c. {12, 4, -6} d. {-12,
xz_007 [3.2K]
The domain of the function 12x + 6y = 24 exists {-4, 0, 5}, then the range of the function exists {12, 4, -6}.
<h3>How to determine the range of a function?</h3>
Given: 12x + 6y = 24
Here x stands for the input and y stands for the output
Replacing y with f(x)
12x + 6f(x) = 24
6f(x) = 24 - 12x
f(x) = (24 - 12x)/6
Domain = {-4, 0, 5}
Put the elements of the domain, one by one, to estimate the range
f(-4) = (24 - 12((-4))/6
= (72)/6 = 12
f(0) = (24 - 12(0)/6
= (24)/6 = 4
f(5) = (24 - 12(5)/6
= (-36)/6 = -6
The range exists {12, 4, -6}
Therefore, the correct answer is option c. {12, 4, -6}.
To learn more about Range, Domain and functions refer to:
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Answer:
Step-by-step explanation:
Bottom triangle
Area = b * height
b = 4 + 4 = 8 cm
h = 5.75
Area = 1/2 * 5.75 * 8
Area = 23 cm^2
Trapezoid
b1 = 8
b2 = 4
h = 2
Area = (b1 + b2)*h/ 2
Area = (8 + 4)*2 /2
Area = 12
Total area = 23 + 12
Total area = 35
0.25x-8=16 add 8 to both sides. you get 0.25x=8. divide by .25 on each side x=32
Answer:
The third option: (f°g)(x)=1.07(0.65x)=06955x
Step-by-step explanation:
The reason I chose this is because 0.65x is the discount price. That's because 35% off is the same as 1.00-0.35 which equals 0.65. After that you would multiply that discount price by 1.07 because you want the 7% sales tax added on to the discount price. Therefore, I would choose the third option as my answer.
