$\"\"$

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The functions are $\"\"$ and $\"\"$ .

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Two functions $\"\"$ and $\"\"$ are inverse functions if and only if both of their

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composite functions are the identity function.

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Find the composite functions of $\"\"$ and $\"\"$ .

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Find $\"\"$ .

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$\"\"$ (Rewrite the function)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Distributive property: $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ .

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$\"\"$

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Find $\"\"$ .

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$\"\"$ (Rewrite the function)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Distributive property: $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ .

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since $\"\"$ .

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Therefore, the functions are inverses.

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$\"\"$

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Yes, the functions are inverses.