Answer:
Option (2).
Step-by-step explanation:
Let f(x) and g(x) are the two functions with domain A and B.
Then (fg)(x) will be the function with domain A∩B
(fg)(x) = f(x)g(x) Domain : A∩B
In this question two functions are,
c(x) =
and d(x) = (x + 3)
Domain : (x - 2) > 0 ⇒ x > 2
and (x - 2) < 0 ⇒ x < 2
Or domain of (cd)(x) will be C = (-∞, 2)∪(2, ∞).
Similarly, d(x) = x + 3
Domain : All real numbers
: D = (-∞, ∞)
(cd)(x) = c(x)d(x)
= 
Domain of (cd)(x) will be,
Domain : C∩D = (-∞, 2)∪(2, ∞) ∩ (-∞, ∞)
: (-∞, 2) ∩ (2, ∞)
Therefore, domain of (cd)(x) will be all real values except 2.
Option (2) will be the answer.
The equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.
<h3>What is linear function?</h3>
Linear function is the function in which the highest power of the unknown variable is one. Linear functions are used to model the real life problem in the mathematical expressions.
The linear function with dependent variable y and independent variable x can be written as,
y=mx+c
Here, m is the slope of the line represented by the function and c is the y intercept.
The equation given in the problem are,
2ry+y= 9
y=12r-5
3y+r2+t=0
4r+2(y-1)=0
The second option is similar to the standard linear function.
Hence, the equation which represents a linear function for the variable y is y=12r-5. Option B is the correct option.
Learn more about the linear function here;
brainly.com/question/15602982
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Q1: y = -3/2x +1
Q2: The graph changes vertically from -1 to 3 (4 units) at the same time it changes horizontally from -4 to 1/2 (4.5 units). The rate of change is 4/4.5 = 8/9 ≈ 0.8889. The closest answer selection is 9/10.
Q3: x=-2
Q4: The graph changes vertically by -4 at the same time it changes horizontally by +1. The slope is 4/-1 = -4. The y-intercept is +1, so the equation is
.. y = -4x +1
Q5: After the same pattern as above,
.. y = 5/2*x +5
Answer: 192
Step-by-step explanation: 24 • 8
Answer:
Any multiple of 71 (i.e. 71, 142, 710, etc)
Step-by-step explanation:
Republicans = R
Democrats = D
Republicans that liked apple pie = 0.80R
Democrats liked eclairs = 0.55D
Republicans who liked apple pie that also liked eclairs = (0.80*0.20)R
If the number of Republicans who liked both desserts is equal to the number of Democrats who liked eclairs, then the following must be true:

Since the number of Republicans and Democrats must be integers, the least number of members possible is 71 (55+16).
Any value that is a multiple of 71 is a possible value for the number of members of the group