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The piecewise function is $\"\"$

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where $\"\"$ represents income and $\"\"$ represents total tax.

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(a)

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Find $\"\"$ .

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Consider the function $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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Find $\"\"$ .

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Consider the function $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Find $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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(b)

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If the person annual income $\"\"$ .

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Then the function $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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Therefore, a person with an annual income of $\"\"$ will have an income of $\"\"$ .

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(a) $\"\"$ , $\"\"$ and $\"\"$ .

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(b) A person with an annual income of $\"\"$ will have an income of $\"\"$ .