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How does the range of g(x)=6/x compare with the range of the parent function f(x)=1/x?

How does the range of g(x)=6/x compare with the range of the parent function f(x)=1/x-example-1

1 Answer

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Answer:

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

Explanation:

The range of the function is the set of real number for
y. The rational function of the form
y = (a)/(x), where
a is a constant, has a range represented by the subset of nonzero real numbers. This is:
Ran\{f(x)\} = \mathbb{R}-\{0\}

Hence, the correct answer is: The range of both
f(x) and
g(x) is all nonzero real numbers.

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