$\"\"$

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The functions are $\"\"$ and $\"\"$ .

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(a)

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A function $\"\"$ is the inverse of the function $\"\"$ if $\"\"$ for each $\"\"$ in the domain of $\"\"$ and $\"\"$ for each $\"\"$ in the domain 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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$\"\"$ .

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Since $\"\"$ , the functions $\"\"$ and $\"\"$ are inverse functions.

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$\"\"$

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(b)

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Draw a coordinate plane.

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Graph the functions $\"\"$ and $\"\"$ .

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Graph:

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$\"\"$

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Observe the graph: $\"\"$ and $\"\"$ have reflective property.

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And the graphs of the two functions symmetric about the line $\"\"$ .

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Hence the functions $\"\"$ and $\"\"$ are inverse functions of each other.

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$\"\"$

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(a)

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$\"\"$ .

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$\"\"$ .

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(b)

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Graph the functions $\"\"$ and $\"\"$ .

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Graph:

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$\"\"$

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$\"\"$ and $\"\"$ are inverse functions.