$\"\"$

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(a)

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The function is $\"\"$ .

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Differentiate $\"\"$ with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Since $\"\"$ then $\"\"$ .

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Therefore $\"\"$ is one to one function and is strictly monotonic.

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$\"\"$

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(b)

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To find the inverse of the function, consider $\"\"$ and solve $\"\"$ interms of $\"\"$ . $\"\"$

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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 the function is $\"\"$ .

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$\"\"$

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(c)

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Find the values of $\"\"$ and $\"\"$ , if $\"\"$

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$\"\"$

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$\"\"$

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Now compare the values of $\"\"$ , $\"\"$ and constants.

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Comparing $\"\"$ coefficients.

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$\"\"$

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Comparing $\"\"$ values.

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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(a) $\"\"$ is one to one function and is strictly monotonic.

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

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(c) $\"\"$ and $\"\"$ .