Question

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

Answer 1

B. is the answer hope this helps

Answer 2

A.

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.