what is the equation of the function y = 6/x translated 5 units to the left and 4 units up?

To translate the function y = 6/x 5 units to the left, you need to replace x with (x+5). To also translate the function 4 units up, you need to add 4 to the function:

Therefore, the equation of the translated function would be:

y = 6/(x+5) + 4