Question

Which value is in the domain of f(x)?
A.) –7
B.) –6
C.) 4
D.) 5

Answer 1

C.) 4 is in the domain of f(x)

f(x) = -2x + 3 0<x <= 4

hope that helps

Answer 2

C) 4

Explanation:

The given function is

`f(x)=\left \{ {{2x+5,\:-6\:<\:x\le0} \atop {-2x+3,\:0\:<x\le4}} \right.`

The function is defined on two intervals.

The first interval is

`-6\:<\:x\le0` and the second interval is
`\:0\:<x\le4`.

`-7` does not belong to any of these intervals.

`-6` does not also belong to any of these intervals.

`4` belongs to the interval
`\:0\:<x\le4`.

Hence 4 is in the domain of f(x).

`5` does not also belong to any of the intervals.

Therefore the correct answer is C.