Find the Inverse of the Given Function and Express It $y = f ^ { - 1 } ( x )$

question 50

Multiple Choice

Find the inverse of the given function and express it in the form $y = f ^ { - 1 } ( x )$ . Verify the result by showing that $\left( f \circ f ^ { - 1 } \right) ( x ) = \left( f ^ { - 1 } \circ f \right) ( x ) = I ( x )$ . $f ( x ) = \frac { 2 x + 10 } { 5 }$

• A) \(f ^ { - 1 } ( x ) = 5 x - 2\)
• B) \(f ^ { - 1 } ( x ) = \frac { 5 } { 2 } x - 5\)
• C) \(f ^ { - 1 } ( x ) = \frac { 2 } { 5 } x + 2\)
• D) \(f ^ { - 1 } ( x ) = \frac { 5 } { 2 } x + 5\)
• E) \(f ^ { - 1 } ( x ) = 2 x + 5\)

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Definitions:

Self-monitoring

Involves an individual's ability to regulate their behavior according to the demands of social situations or their personal goals.

Designing Natural Rewards

The process of integrating intrinsic rewards into job designs and work environments to motivate employees.

Self-leadership Process

The practice of influencing oneself to establish the self-direction and self-motivation needed to perform or achieve goals.

Constructive Thought Pattern

A cognitive approach that focuses on positive outcomes and rational thinking to solve problems.