MATH SOLVE

4 months ago

Q:
# PLEASE HELP 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, . A. What is the domain of the function, g(x)?B. What is the range of the function, g(x)?

Accepted Solution

A:

g(x) = 1 / (x+4) is a modification of the "parent function" f(x) = 1/x, whose domain is the set of all real numbers other than x = 0 (cannot divide by zero).Β Similarly, the range of f(x) is "all real numbers other than y=0."

g(x) has the same graph as does f(x), with the exception that the graph of f(x) has been moved (translated) 4 units to the left.Β Whereas x could not = 0 before, now x cannot equal -4, because then the denom. of g(x) would be zero.

In this transformation the range remains the same from f(x) to g(x).

g(x) has the same graph as does f(x), with the exception that the graph of f(x) has been moved (translated) 4 units to the left.Β Whereas x could not = 0 before, now x cannot equal -4, because then the denom. of g(x) would be zero.

In this transformation the range remains the same from f(x) to g(x).