[tex]\Huge\mathbb{ANSWER}[/tex]

==============================

The expression g(-2) = -2 - 5(-2) + 2 can be simplified as follows:

• g(-2) = -2 - 5(-2) + 2
• g(-2) = -2 + 10 + 2
• g(-2) = 10

Therefore, the statement "g(-2) = -2 - 5(-2) + 2 = 16" is false. The correct value of g(-2) is 10.