If \( g(x) = x^2 - 3x + 2 \), what is \( g(3) \)?

To determine ( g(3) ) for the function ( g(x) = x^2 - 3x + 2 ), you need to substitute ( 3 ) for ( x ) in the function.

Start by substituting:

1. Replace ( x ) with ( 3 ):

[

g(3) = (3)^2 - 3 \cdot (3) + 2

]

2. Calculate ( (3)^2 ):

[

(3)^2 = 9

]

3. Calculate ( -3 \cdot (3) ):

[

-3 \cdot (3) = -9

]

4. Combine these values:

[

g(3) = 9 - 9 + 2

]

5. Simplify further:

[

g(3) = 0 + 2 = 2

]

Thus, ( g(3) = 2 ), which corresponds to the correct choice. This demonstrates that by carefully substituting and performing basic arithmetic operations, one can evaluate polynomial functions at specific points.