You have to plug 2 in to all the functions and check.
Let us plug 2 into g(x) and check
[tex]g(x) = 4(x + 3) {}^{2} - 68[/tex]
[tex]g(2) = 4(2 + 3) {}^{2} - 68[/tex]
[tex]g(2) = 4(5) { }^{2} - 68[/tex]
[tex]g(2) = 4 \times 25 - 68[/tex]
[tex]g(2)=100 \: -68[/tex]
[tex]g(2)= \: 32[/tex]
The correct answer is A
