Find g(x), where g(x) is the translation 1 unit left of f(x)=–5x–4.

To find the function g(x) which is the translation 1 unit left of f(x) = -5x - 4, we need to replace x in the function f(x) with (x+1). This is because moving a function to the left by one unit corresponds to replacing x with (x+1) in the function's equation.

So, g(x) = f(x+1) = -5(x+1) - 4.

Simplify the equation:

g(x) = -5x - 5 - 4 g(x) = -5x - 9

So, the function g(x) which is the translation 1 unit left of f(x) = -5x - 4 is g(x) = -5x - 9.