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

Answer:

C) 4

Step-by-step 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.