Which statement is correct regarding g (x) = RootIndex 3 StartRoot x + 6 EndRoot minus 6 and the parent function f (x) = RootIndex 3 StartRoot x EndRoot ? The domains of g(x) and f(x) are the same, but their ranges are not the same. The ranges of g(x) and f(x) are the same, but their domains are not the same. The ranges of g(x) and f(x) are the same, and their domains are also the same. The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.

The correct statement regarding g (x) and the parent function f (x) is C ;The ranges of g(x) and f(x) are the same, and their domains are also the same.

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The given function g (x) = [tex]\sqrt[3]{x + 6} - 6[/tex]

The above function is defined if (x+ 6) is greater than 0.

The parent function f (x) = [tex]\sqrt[3]{x}[/tex]

Therefore,

The correct statement regarding g (x) and the parent function f (x) is C

Hence, The ranges of g(x) and f(x) are the same, and their domains are also the same.

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