How does the range of g of x is equal to 6 over x compare with the range of the parent function f of x is equal to 1 over x ?

For f(x) = 1/x, the output can be any nonzero real number, but never 0. For g(x) = 6/x, the output is also never 0; for any nonzero output y, choosing x = 6/y gives g(x) = y. So both functions have the range of all nonzero real numbers, which is choice A.

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