The graph of g (x) is transformed from its parent function, f (x). Apply concepts involved in determining the key features of a rational function to determine the domain and range of the function, g (x) = 1/x+4. A. What is the domain of the function, g (x) ? B. What is the range of the function, g (x) ?

Presumably, the parent function is

f (x) = 1/x

Then g (x) = f (x + 4) represents a translation of the function 4 units to the left.

The domain and range of f (x) are "all real numbers except x=0".

A. The domain of g (x) will have that exception translated 4 units to the left, to x = - 4. The domain of g (x) is ...

all real numbers except x = - 4.

B. The range of g (x) remains unchanged from that of f (x). It is ...

all real numbers except g (x) = 0.