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Which value is in the domain of f(x)?


f(x) = StartLayout Enlarged left-brace 1st row 1st column 2 x + 5, 2nd column negative 6 less-than x less-than-or-equal-to 0 2nd row 1st column negative 2 x + 3, 2nd column 0 less-than x less-than-or-equal to 4


–7

–6

4

5


Sagot :

Answer: C: 4

Step-by-step explanation:

The domain of the function f(x) is: -6 < x ≤ 4, and the value that is in the domain of the function f(x) is 4

How to determine the value in the domain?

The function is given as:

f(x) = 2x + 5,   -6 < x ≤ 0

f(x) = 2x + 3,   0 < x ≤ 4

The above means that the domain of the function f(x) is:

-6 < x ≤ 0 and 0 < x ≤ 4

When combined, we have:

-6 < x ≤ 4

This means that x is greater than -6 but does not exceed 4

Hence, the value that is in the domain of the function f(x) is 4

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