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:
Step-by-step explanation:
Given that Miguel is playing a game
The box contains 4 chips, 2 with number 1, and other two differntly numbered as 3 and 5.
OUt of these 4, 2 chips are drawn
P(drawing same number) = 2C2/4C2 =
Prob (drawing differnt numbers) = 1-1/6 =
Hence prob of winning 2 dollars =
Prob of losing 1 dollar =
b) Expected value = sum of prob x amount won
= 
c) Miguel can expect to lose 1/2 dollars for every game he plays
d) If it is to be a fair game expected value =0
i.e. let the amount assigned be s
Then 
Selecting 5 students to participate in a math contest would require combinations.
<u>SOLUTION:
</u>
given that, Selecting 5 students to participate in a math contest would require the calculating of a permutation or combination?
So, we need to differentiate between permutations and combinations.
Permutations - In mathematics, permutation is the act of arranging the members of a set into a sequence or order
Combinations - In mathematics, a combination is a selection of items from a collection, such that the order of selection does not matter.
So, now, for our math test, we just require students but not in an order nor with arrangements.
Hence, selecting 5 students to participate in a math contest would require combinations.
Answer:
multiple choice answers?
Step-by-step explanation:
