Question

The graph of g(x) is transformed from its parent funcion, f(2). Apply concepts involved in determining the keyfeatures of a rational function to determine the domain and range of the function, g(x) = 1/x+41. What is the domain of the function, g(x)?2. What is the range of the function, g(x)?

Answer 1

EXPLANATION

Given that the function is transformed from its parent function and we need to apply the concepts of Domain and Range, we can see that the domain of the function g(x) = 1/(x+4) represents all the real umbers less the number -4:

Domain: {x/ x<-4, x>4}

Also, the range represents all the Real numbers except the zero.

Range: {x/ g(x)<0, g(x)>0}