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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Definitions:

Erik Erikson

A developmental psychologist known for his theory on the psychological development of humans in eight stages from infancy to adulthood.

Basic Biological Needs

Fundamental physiological necessities for survival, such as food, water, shelter, and sleep.

Sound Attachments

Emotional bonds between individuals, often formed through verbal communication, speech, and shared musical experiences.

Trust Versus Mistrust

A stage in Erik Erikson's theory of psychosocial development where an infant learns to trust their caregivers and environment or develops mistrust based on the consistency of care and affection received.