Find g(x), where g(x) is the translation 3 units right of f(x)=–4x–1.

To find the function g(x) which is the translation 3 units to the right of the function f(x) = -4x - 1, we need to replace every x in f(x) with (x-3). This is because moving a function to the right by a certain number of units corresponds to replacing x with (x - number of units) in the function's equation.

So, g(x) = f(x - 3) = -4(x - 3) - 1.

Simplify the equation:

g(x) = -4x + 12 - 1 g(x) = -4x + 11

So, the function g(x) which is the translation 3 units to the right of the function f(x) = -4x - 1 is g(x) = -4x + 11.