Step 1:

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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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$\"\"$ is never be negative number.

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$\"\"$

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

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

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The function is increasing on entire its domain.

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The function is $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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

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$\"\"$ is positive on the domain of $\"\"$ .

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The function is one to one function.

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Step 2:

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The function is $\"\"$

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Change $\"\"$ to $\"\"$ .

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$\"\"$

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

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$\"\"$

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Solve for $\"\"$ .

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$\"\"$

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Change $\"\"$ to $\"\"$ .

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$\"\"$ .

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Solution:

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The function is one to one.

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$\"\"$