Question

The function g(x) is defined as shown.

Answer 1

G(x) = 6 - x for x = 3 and above.
Therefore, g(3) = 6 - 3 = 3

Answer 2

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 $g(3)=3$