Final answer:
A reciprocal function that has been translated left 2 units and up 4 units is f(x) = 1/(x+2) + 4.
Step-by-step explanation:
A reciprocal function is of the form f(x) = 1/x. To translate the function left 2 units, we replace x with (x+2). To translate it up 4 units, we add 4 to the function. Therefore, the translated reciprocal function is f(x) = 1/(x+2) + 4.