$\"\"$

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The function is $\"\"$ .

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Horizontal line test:

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A function $\"\"$ has an inverse $\"\"$ if and only if no horizontal line intersects its graph of the function in at most one point.

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(1) The function $\"\"$ is an one-to-one, because it passes the horizontal line test in the domain $\"\"$ .Therefore the inverse of the function exist.

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

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

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(2) The function $\"\"$ is an one-to-one, because it passes the horizontal line test in the domain $\"\"$ . Therefore the inverse of the function exist.

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

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

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$\"\"$

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(1) To find the inverse of the function, consider $\"\"$ and solve $\"\"$ in terms of $\"\"$ .

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$\"\"$

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$\"\"$

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Since the domain of the function is $\"\"$ , then $\"\"$

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Now interchange $\"\"$ and $\"\"$ .

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$\"\"$

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Replace $\"\"$ .

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$\"\"$

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

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The Domain of inverse funtion $\"\"$ is the range of the function $\"\"$ .

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

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(2) To find the inverse of the function, consider $\"\"$ and solve $\"\"$ in terms of $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Now interchange $\"\"$ as $\"\"$ and $\"\"$ as $\"\"$ .

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$\"\"$

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$\"\"$

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The inverse of $\"\"$ is $\"\"$

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The Domain of inverse funtion $\"\"$ is the range of the function $\"\"$ .

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Domain of the function $\"\"$ is $\"\"$

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$\"\"$

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Graph:

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Graph the function for $\"\"$ and $\"\"$ ,

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$\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .