Find g(x), where g(x) is the translation 6 units up of f(x)=–6|x–4|–1.

To translate the function f(x) = -6|x - 4| - 1 up by 6 units, you simply need to add 6 to the entire function. This is because moving a function up or down involves adding or subtracting a constant to the function.

So, the function g(x), which is f(x) translated 6 units up, is:

g(x) = -6|x - 4| - 1 + 6

Simplify the equation:

g(x) = -6|x - 4| + 5

So, the function g(x) = -6|x - 4| + 5 is the function f(x) = -6|x - 4| - 1 translated 6 units up.