marisolishwerd2265
05.10.2019 •
Mathematics
Determine the domain of the function f(x) = 2x - 4 when the range is {0, 12, 20}.
a. {2, 8, 12}
b. {0, 12, 20}
c. {4, 16, 24}
d. none of these
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Ответ:
A.
Step-by-step explanation:
The range of a function is the possible values of y = f(x). We have that the range is {0,12,20}. Then, to find the domain we equalize the function to each range value and find the possible values of x (domain).
In the case os 0 we have:
0 = 2x-4
4 = 2x
x = 4/2 = 2.
In the case of 12 we have:
12 = 2x-4
12+4 = 2x
16 = 2x
x = 16/2 = 8.
In the case of 20 we have:
20 = 2x-4
20+4 = 2x
24 = 2x
x = 24/2 =12.
The, the domain of the function with that range is {2,8,12}. Then the answer is A.
Ответ:
Explanation:
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