The problem asks you to find $f(g(-5))$, given the following functions:

$f(x) = 2x - 6$ $g(x) = x^2 + 6x - 5$

To solve this, follow these steps:

1. Evaluate $g(-5)$: $g(x) = x^2 + 6x - 5$ Substitute $x = -5$ into the equation: $g(-5) = (-5)^2 + 6(-5) - 5 = 25 - 30 - 5 = -10$

2. Now find $f(g(-5)) = f(-10)$: $f(x) = 2x - 6$ Substitute $x = -10$ into the equation: $f(-10) = 2(-10) - 6 = -20 - 6 = -26$

Thus, the value of $f(g(-5))$ is $\boxed{-26}$.

Would you like more details on any step, or do you have any further questions?

Here are 5 related questions you might explore:

1. What happens if you change the input of $g(x)$ to a different number, say $g(2)$?
2. How do you find the inverse of a function like $f(x) = 2x - 6$?
3. Can you compose two functions in reverse order, like finding $g(f(x))$?
4. What is the general process for solving composite functions for any input $x$?
5. How do you interpret composite functions graphically?

Tip: When evaluating composite functions, always start by solving the innermost function first, then substitute that result into the outer function.