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maw [93]
4 years ago
13

PLEASE HELP The graph of g(x) is transformed from its parent function, f(x). Apply concepts involved in determining the key feat

ures 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)?

Mathematics
1 answer:
Feliz [49]4 years ago
6 0
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).  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.  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).
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