$\"\"$

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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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$\"\"$

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Substitute $\"\"$ .

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

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(b)

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Draw a coordinate plane.

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

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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 $\"\"$ .

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Range of the function is all posssible output values.

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Range of the function is non negative numbers.

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Range of the function $\"\"$ is also $\"\"$ .

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The inverse function is $\"\"$ .

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

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Therefore, domain of $\"\"$ is $\"\"$ .

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

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Therefore, range of $\"\"$ is $\"\"$ . $\"\"$

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(a)

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

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(b)

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The graph of the functions are $\"\"$ and $\"\"$ . $\"\"$

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(c)

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$\"image\"$ and $\"image\"$ are symmetric about $\"\"$ .

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(d)

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Domain of $\"\"$ is $\"\"$ .

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Range of the function $\"\"$ is $\"\"$ .

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Domain of $\"\"$ is $\"\"$ .

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Range of $\"\"$ is $\"\"$ .