gracepiechowiak
29.01.2020 •
Mathematics
The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. what are the restrictions on the domain of ? u(x) 0 and v(x) 2 x 0 and x cannot be any value for which u(x) 2 x 2 and x cannot be any value for which v(x) 0 u(x) 2 and v(x) 0
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Ответ:
Third option
x ≠2 and x cannot be any value for which v(x) = 0
Step-by-step explanation:
In this problem we are asked to find the domain of the function
We know that .
We know that:
Domain of U(x) is all real numbers except x = 0
Domain of V(x) is all real numbers except x = 2.
Then the domain of the composite function U(V (x)) is:
all real numbers except x = 2. (since x = 2 does not belong to the domain of V(x) and all values of x for which V(x) = 0 (since x = 0 does not belong to the domain of U(x))
Finally the domain of ) is:
and
Ответ:
1/12
Step-by-step explanation:
The probability of getting a three on a fair die is 1/6
The probability of getting tails on an unbiased coin is 1/2
Then the probability of getting a three on a fair die and tails on an unbiased coin is 1/6 x1/2=1/12