How does the graph of g(x) = 1/x+4-6 compare to the graph of the parent function f(x)=1/x ?

We are given a parent function f(x) as:

and the transformed function g(x) is given by:

We know that the transformation of the type:

     f(x) → f(x+a)

is either a shift a units to the left or to the right depending whether a is positive or negative respectively.

Also, the transformation of the type:

   f(x) → f(x)+a

is the shift of the function f(x) either upward or downward depending on whether x is positive or negative respectively.

Here the function g(x) is:

This means that the function g(x) is a shift of the function f(x) 4 units to the left and then it is translated 6 units downward.

Also we may see by the graph.

step-by-step explanation: