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Wewaii [24]
3 years ago
12

The function g(x) is defined as shown.

Mathematics
2 answers:
Evgen [1.6K]3 years ago
4 0
G(x) = 6 - x for x = 3 and above.
Therefore, g(3) = 6 - 3 = 3
lubasha [3.4K]3 years ago
4 0

Answer:

3


Step-by-step explanation:

This is a piece-wise function. The domain [x-values] is broken down into parts.

<em>To evaluate this type of functions, we see in </em><em>WHICH PART</em><em> of the </em><em>DOMAIN</em><em> does the questions ask to look for.</em>

The question asks for g(3) , the value of the function at  x=3

<em>In which of the 3 parts does  x=3  fall into?</em>


The domain condition,  x\geq3  , in the last part tells us that it is GREATER THAN OR EQUAL TO 3. So  x=3  falls in this part of the function, which is  6-x

We can simply substitute 3 in x of that part and get our desired answer. So,

6-x\\6-(3)\\3

The value of g(3)=3

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