The Function F Is One-To-One $$f ( x ) = \sqrt { x - 1 }$$

question 255

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = \sqrt { x - 1 }$$

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

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Definitions:

Conditioning Process

The conditioning process is a method of behavioral training in which a response becomes more frequent or predictable due to reinforcement with a stimulus.

Shaping

A method of teaching or training in which successive approximations towards a desired behavior are rewarded.

Chaining

A method used in behavior psychology and learning that involves teaching a complex activity or behavior by linking together simpler tasks or elements.

Distal Goal

A long-term objective that is often more abstract and challenging to achieve than immediate goals.