Question

The function g(x) is defined as shown.

What is the value of g(3)?

2
3
9
14

Answer 1

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

Answer 2

3

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`