The problem asks us to find the value of the function $g(x) = x^2 + 8x - 6$ when $x = -5$. In other words, we want to calculate $g(-5)$.

1. Problem Description

The problem asks us to find the value of the function $g(x) = x^2 + 8x - 6$ when $x = -5$. In other words, we want to calculate $g(-5)$.

2. Solution Steps

To find the value of $g(-5)$, we substitute $-5$ for $x$ in the expression for $g(x)$:

$g(x) = x^2 + 8x - 6$

$g(-5) = (-5)^2 + 8(-5) - 6$

$g(-5) = 25 - 40 - 6$

$g(-5) = 25 - 46$

$g(-5) = -21$

3. Final Answer

The value of $g(-5)$ is $-21$.