Answer:
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 \(g(3)\) , the value of the function at \(x=3\)
In which of the 3 parts does \(x=3\) fall into?
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 \(g(3)=3\)
