Find g(x), where g(x) is the translation 6 units left and 5 units up of f(x)=–3|x+1|–10.

To find g(x), we need to apply the transformations to the function f(x) = -3|x+1| - 10.

1. First, let's translate the function 6 units to the left. This means we replace x in the function with (x+6). So, f(x) becomes -3| (x+6) + 1| - 10 = -3| x + 7 | - 10.

2. Next, we translate the function 5 units up. This means we add 5 to the entire function. So, f(x) becomes -3| x + 7 | - 10 + 5 = -3| x + 7 | - 5.

Therefore, g(x) = -3| x + 7 | - 5.