$\"\"$

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(a)

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The function is $\"\"$ .

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Rewrite the function as $\"\"$ .

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Find the inverse function.

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$\"\"$

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Interchange the variables $\"image\"$ and $\"image\"$ .

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$\"\"$

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Cubing on each side.

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$\"\"$

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$\"\"$

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Substitute $\"\"$ .

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The inverse of the function is $\"\"$ .

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$\"\"$

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(b)

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Draw a coordinate plane.

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Graph the functions $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the graph :

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The functions $\"\"$ and $\"\"$ are symmetric about the line $\"\"$ .

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$\"\"$

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(c)

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The functions $\"\"$ and $\"\"$ are symmetric about the line $\"\"$ .

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$\"\"$

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(d)

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The function is $\"\"$ .

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The domain of a function is all values of $\"\"$ , those makes the function mathematically correct.

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Domain of $\"\"$ is all real numbers.

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Range of the function $\"\"$ is a set of all real numbers.

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The inverse function is $\"\"$ .

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The range of $\"\"$ is the domain of $\"\"$ .

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Therefore, domain of $\"\"$ is a set of all real numbers.

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The range of $\"\"$ is the domain of $\"\"$ .

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Therefore, range of $\"\"$ is a set of all real numbers.

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$\"\"$

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(a) The inverse of the function is $\"\"$ .

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(b) Graph of the functions $\"\"$ and $\"\"$ :

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$\"\"$

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(c) $\"image\"$ and $\"image\"$ are symmetric about $\"\"$ .

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(d) Domain of $\"\"$ is a set of all real numbers.

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Range of $\"\"$ is a set of all real numbers.

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Domain of $\"\"$ is a set of all real numbers.

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Range of $\"\"$ is a set of all real numbers.