Evaluate g(2) given. Help

Answer:
[tex]g(2) = 3[/tex]
Step-by-step explanation:
Given
See attachment
Required
[tex]g(2)[/tex]
To solve this, we make use of:
[tex]g(x) = |7 - x^2|[/tex]
Because [tex]x \le 2[/tex]
i.e. [tex]2 \le 2[/tex]
So, we have:
[tex]g(2) = |7 - 2^2|[/tex]
[tex]g(2) = |7 - 4|[/tex]
[tex]g(2) = |3|[/tex]
Remove absolute brackets
[tex]g(2) = 3[/tex]