Answer:
The missing values are [tex]A = \frac{1}{4}[/tex], [tex]B = 1[/tex] and [tex]C = 4[/tex], respective.
Step-by-step explanation:
We find the values regarding A, B and C by evaluating [tex]g(x)[/tex] at respective values of [tex]x[/tex]:
[tex]x = -2[/tex]
[tex]g(-2) = 4^{-\frac{2}{2} }[/tex]
[tex]g(-2) = 4^{-1}[/tex]
[tex]g(-2) = \frac{1}{4}[/tex]
[tex]A = \frac{1}{4}[/tex]
[tex]x = 0[/tex]
[tex]g(0) = 4^{\frac{0}{2} }[/tex]
[tex]g(0) = 1[/tex]
[tex]B = 1[/tex]
[tex]x = 2[/tex]
[tex]g(2) = 4^{\frac{2}{2} }[/tex]
[tex]g(2) = 4^{1}[/tex]
[tex]g(2) = 4[/tex]
[tex]C = 4[/tex]