Find the Inverse Of $f$ Then Sketch the Graphs Of Then

question 30

Multiple Choice

Find the inverse of $f$ . Then sketch the graphs of $f$ and $f ^ { - 1 }$ on the same set of axes.
$f ( x ) = \sqrt { 16 - x ^ { 2 } } , x \geq 0$

• A) \(f^{-1}(x)=\sqrt{4+x^{2}}, x \geq 0\)
• B) \(f ^ { - 1 } ( x ) = - \sqrt { 16 - x ^ { 2 } } , x \geq 0\)
• C) \(f ^ { - 1 } ( x ) = \sqrt { 16 - x ^ { 2 } } , x \geq 0\)
• D) \(f ^ { - 1 } ( x ) = - \sqrt { 4 + x ^ { 2 } } , x \geq 0\)

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Definitions:

Expense Recognition Principle

An accounting principle that states expenses should be recognized in the same period as the revenues they helped to generate, ensuring financial statements accurately reflect business performance.

Expenses

The costs incurred by a business in the process of earning revenue, including operations, maintenance, and administrative costs.

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The total income generated from normal business operations and other activities, before any expenses are subtracted.

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An accounting method that recognizes revenues and expenses only when cash is exchanged.