Find F(x) and G(x) Such That H(x) = $$= ( f \circ g ) ( x )$$

question 44

Short Answer

Find f(x) and g(x) such that h(x) = $$= ( f \circ g ) ( x )$$
- $h ( x ) = \sqrt { \frac { x + 2 } { x - 1 } }$
A) $f ( x ) = \frac { x + 2 } { x - 1 } , g ( x ) = \sqrt { x }$
B) $f ( x ) = \sqrt { \frac { 1 } { x - 1 } } , g ( x ) = x + 2$
C) $f ( x ) = \sqrt { x + 2 } , g ( x ) = \frac { 1 } { x - 1 }$
D) $f ( x ) = \sqrt { x } , g ( x ) = \frac { x + 2 } { x - 1 }$

• A) \(f ( x ) = \frac { x + 2 } { x - 1 } , g ( x ) = \sqrt { x }\)
• B) \(f ( x ) = \sqrt { \frac { 1 } { x - 1 } } , g ( x ) = x + 2\)
• C) \(f ( x ) = \sqrt { x + 2 } , g ( x ) = \frac { 1 } { x - 1 }\)
• D) \(f ( x ) = \sqrt { x } , g ( x ) = \frac { x + 2 } { x - 1 }\)

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Definitions:

Avoidance

A behavioral response aimed at evading an unpleasant, harmful, or threatening situation.

Punishment

A consequence applied to reduce the likelihood of a behavior reoccurring, often seen as negative or undesirable.

Superstitious Behavior

Actions linked to beliefs in supernatural causality, where an event causes an effect without any natural process linking the two.

Skinner

B.F. Skinner was an American psychologist best known for his work in behaviorism and the development of the theory of operant conditioning.