Answer:
The option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>
Step-by-step explanation:
As the domain of f(x) is the set of all real values except 7. So it can be written as follows:
Domain of f(x) = { x ∈ R | x ≠ 7}
As the domain of g(x) is the set of all real values except -3. So it can be written as follows:
Domain of g(x) = { x ∈ R | x ≠ -3}
It is a common rule that the domain of a composite function (gºf)(x) will be the set of those input x in the domain of f for which f(x) is in the domain of g.
So, the option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>
Keywords: domain, composite function
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Answer: Area of sidewalk is 217m²
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle
π is a constant whose value is 3.14
A circular flower bed is 20 meters in diameter.
radius = diameter/2 = 20/2 = 10 meters
Area of the flower bed = 3.14 × 10²
= 314m²
The circular flower bed has a circular sidewalk around it that is 3 meters wide. This means that the total diameter would be
3 + 20 + 3 = 26m
Radius = 26!2 = 13m
Total area = 3.14 × 13² = 530.66m²
Therefore, area of the sidewalk is
530.66 - 314 = 216.66
The area of sidewalk is 217m² to the nearest whole number
Answer: Our required probability is 0.55.
Step-by-step explanation:
Since we have given that
Probability that chance of winning the hotel bid = 40%
Probability that no chance of winning the hotel bid = 100-40=60%
Probability that chance of winning the office building bid = 25%
Probability that no chance of winning the office building bid = 100-25 = 75%
So, Probability that the company will win at least one contract is given by
Hence, our required probability is 0.55.
Answer:
27
Step-by-step explanation:
<h2><u>Number of documents</u></h2>
jacob copies 30% of a document which is 8 pages
we can solve this using cross multiplication
30 % : 8
100% : x
30%x = 100%*8
30% x = 8
x = 8/ 30%
x = 26.667
to 2sf
<h3><u>number of pages in the documents 27 </u></h3>
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