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

Mathematics

1 answer:

Mariana [72]2 years ago

4 0

Answer: x = 4

Step-by-step explanation:

Here we have a piecewise function.

One piece works for values of x such that: -6 < x < 0

And the other piece works for values of x such that: 0 < x ≤ 4

Then the domain of this function is:

D = (-6, 0) U (0, 4]

Notice that, becuse we use the symbols ><, the values of x:

x = -6

x = 0

Do not belong to this domain.

While becuase we use the symbol ≤ in the right end, the value x = 4 does belong to the domain.

Then for the given options, the only value that belongs to the domain is the third option, x = 4.

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All members of a class of 27 students participated in at least one event on sports day. 20 students participated in individual e

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Given:

Total students participated = 27

20 students participated in individual events

12 students took part in team events.

We have N(All students) = 27

N(individual) = 20

N(Team)= 12

So,

$N_{\text{individual \; and \; team}} & = N_{\text{individual}} + N_{\text{team}} - N_{\text{All students}}$