$\"\"$

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The function is $\"\"$

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f is increasing over its entire domain, $\"\"$ . To verify this, note that $\"\"$ is positive on the domain of f. So, f is strictly monotonic and it must have an inverse function. To find an equation for the inverse function, let y = f(x) and solve for x in terms of y.

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$\"\"$ (Let y = f(x))

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$\"\"$ (Multiply each side by x)

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$\"\"$ (Subtract x from each side)

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$\"\"$ (Take out common term x)

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Interchange x and y)

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$\"\"$ (Replace y by $\"\"$ )

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$\"\"$

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Graph f and $\"\"$ on the same set of coordinate axes.

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$\"\"$

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$\"\"$

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