$\"\"$

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The function is $\"\"$ .

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The function is continuous in the interval $\"\"$ .

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Derivative of $\"\"$ is $\"\"$ , which is negative in the interval $\"\"$ .

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So the function is one-to-one and is strictly monotonic.

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Therefore, inverse exists.

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$\"\"$

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From theorem 5.9 : $\"\"$ .

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Equate $\"\"$ to $\"\"$ .

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$\"\"$

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By trial and error process we will get $\"\"$ .

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Thus, $\"\"$

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$\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ in above expression.

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$\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .