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The graph of g(x) is a reflection and translation of
f(x) = ³√x.

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g(x) = -∛x - 1

Step-by-step explanation:

Original function :

f(x) = ∛x

Now, the graph has been reflected :

⇒ f'(x) = -∛x

And it has also been translated (1 unit right according to the graph) :

⇒ g(x) = -∛x - 1
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[tex]g(x) = - \sqrt[3]{x - 1} [/tex]
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