3
Step-by-step explanation:
This is a piece-wise function. The domain [x-values] is broken down into parts.
To evaluate this type of functions, we see in WHICH PART of the DOMAIN does the questions ask to look for.
The question asks for
, the value of the function at  ![x=3](/tpl/images/0190/2784/1547e.png)
In which of the 3 parts does Â
 fall into?
The domain condition, Â
 , in the last part tells us that it is GREATER THAN OR EQUAL TO 3. So Â
 falls in this part of the function, which is  ![6-x](/tpl/images/0190/2784/dd98a.png)
We can simply substitute 3 in
of that part and get our desired answer. So,
![6-x\\6-(3)\\3](/tpl/images/0190/2784/2c40c.png)
The value of ![g(3)=3](/tpl/images/0190/2784/14938.png)