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How does the range of g(x)=6/x compare with the range of the parent function (f)=1/x?
A:The range of both f(x) and g(x) is all real numbers
B:The range of both f(x) and g(x) is all nonzero real numbers
C:The range of f(x) is all real numbers, the range of g(x) is all real numbers except 6
D:The range of f(x) is all nonzero real numbers, the range of g(x) is all real numbers except 6

Respuesta :

sqdancefan
Since the only exclusion from the range is y=0, vertically scaling the graph by a factor of 6 doesn't change the range. (0 is still 0)

The appropriate choice is ...
   B: The range of both f(x) and g(x) is all nonzero real numbers

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