$\"\"$

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The function is $\"\"$ .

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Consider the horizontal line is $\"\"$ .

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Graph:

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Graph the function for $\"\"$ and the horizontal line is $\"\"$ .

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$\"\"$

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The horizointal line $\"\"$ touches the graph of the function at only one point.

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Hnece the function passes the horizontal line test then the function is an one-to-one function.

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The inverse of the function exist.

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$\"\"$

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The function is $\"\"$ .

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The domain of the function is $\"\"$ , i.e $\"\"$ .

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The domain of the fucntion is $\"\"$

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And the range of the function is $\"\"$ .

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Consider $\"\"$ and simplify the function $\"\"$ in terms of $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Replace the terms $\"\"$ and $\"\"$ in the above function.

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$\"\"$

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$\"\"$

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

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

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

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$\"\"$

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There is not necessary to restrict the domain of the function $\"\"$ .