To evaluate the function [tex]\( g(x) = \sqrt{2x + 8} \)[/tex] when [tex]\( x = 4 \)[/tex]:
1. Substitute [tex]\( x = 4 \)[/tex] into the function [tex]\( g(x) \)[/tex]:
[tex]\[
g(4) = \sqrt{2(4) + 8}
\][/tex]
2. Calculate the expression inside the square root:
[tex]\[
2(4) + 8 = 8 + 8 = 16
\][/tex]
3. Now, take the square root of 16:
[tex]\[
\sqrt{16} = 4
\][/tex]
So, the value of [tex]\( g(4) \)[/tex] is [tex]\( 4.0 \)[/tex].
