Solve the Problem $f ( x ) = | x | - 3 ; x \geq 0$

question 66

Multiple Choice

Solve the problem.
-Given $f ( x ) = | x | - 3 ; x \geq 0$ , write an equation for $f ^ { - 1 } ( x )$ . (Hint: Sketch $f ( x )$ and note the domain and range.)

• A) \(f ^ { - 1 } ( x ) = x + 3 ; x \geq - 3\)
• B) \(f ^ { - 1 } ( x ) = | x | + 3 ; x \geq - 3\)
• C) \(f ^ { - 1 } ( x ) = | x + 3 | ; x \geq 0\)
• D) \(f ^ { - 1 } ( x ) = | x | + 3 ; x \geq 0\)

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