Certainly! To evaluate the function [tex]\( g(x) = \sqrt{2x + 8} \)[/tex] at [tex]\( x = 4 \)[/tex], follow these steps:
1. Substitute [tex]\( x = 4 \)[/tex] into the function:
[tex]\[
g(4) = \sqrt{2 \cdot 4 + 8}
\][/tex]
2. Simplify the expression inside the square root:
[tex]\[
2 \cdot 4 = 8
\][/tex]
So,
[tex]\[
g(4) = \sqrt{8 + 8}
\][/tex]
3. Add the constants inside the square root:
[tex]\[
8 + 8 = 16
\][/tex]
Therefore,
[tex]\[
g(4) = \sqrt{16}
\][/tex]
4. Evaluate the square root:
[tex]\[
\sqrt{16} = 4
\][/tex]
So, the value of [tex]\( g(4) \)[/tex] is [tex]\( 4.0 \)[/tex].
