$\"\"$

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(a).

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The function is $\"\"$ .

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$\"\"$ is increasing over its entire domain, $\"\"$ .

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So, $\"\"$ is strictly monotonic and it must have an inverse function.

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To find an equation for the inverse function, let $\"\"$ and solve for $\"\"$ in terms of $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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(b)

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(1).Draw the coordinate plane.

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(2).Graph the functions $\"\"$ and $\"\"$ on the same set of coordinate axis

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$\"\"$ .

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$\"\"$

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(c)

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Relationship between the graphs :

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Observe the graph :

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The functions $\"\"$ and $\"\"$ are reflections of each other across the line $\"\"$ . $\"\"$

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(d)

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Domain and range of $\"\"$ :

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The domain of $\"\"$ is set of all real numbers $\"\"$ .

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The range of $\"\"$ is set of all real numbers $\"\"$ .

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Domain and range of $\"\"$ :

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The domain of $\"\"$ is set of all real numbers $\"\"$ .

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The range of $\"\"$ is set of all real numbers $\"\"$ .

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$\"\"$

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(a).

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$\"\"$ .

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(b).

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$\"\"$

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(c).

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$\"\"$ and $\"\"$ are reflections of each other across the line $\"\"$ .

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(d).

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The domain of $\"\"$ is set of all real numbers $\"\"$ .

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The range of $\"\"$ is set of all real numbers $\"\"$ .

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The domain of $\"\"$ is set of all real numbers $\"\"$ .

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The range of $\"\"$ is set of all real numbers $\"\"$ .