Find Functions F and G So That F $f \circ g = H$

question 17

Multiple Choice

Find functions f and g so that f $f \circ g = H$
- $$\mathrm { H } ( \mathrm { x } ) = | 3 \mathrm { x } + 7 |$$

• A) \(f ( x ) = x ; g ( x ) = 3 x + 7\)
• B) \(f ( x ) = | x |\);
• \(g ( x ) = 3 x + 7\)
• C) \(f ( x ) = | - x | ; \quad g ( x ) = 3 x - 7\)
• D) \(f ( x ) = - | x | ; \quad g ( x ) = 3 x + 7\)

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Definitions:

Moral Evil

Wrong or harm arising from intentional actions or character flaws of moral agents, contrasted with evil resulting from natural processes or accidents.

Free Will

Among philosophers, a somewhat antiquated expression (as in “he did it of his own free will”) meaning that a person is capable of making decisions that are not determined by antecedent conditions. Of course, there may be antecedent considerations, such as what a person wants or what a person believes, but free will means that such considerations never determine a person’s decision. At most they “enter into the decision.”

Least of the Evils

A principle involved in decision making that opts for the less harmful or least undesirable option among several bad choices.

Process Philosophy

A philosophical approach that emphasizes becoming, change, and the dynamic nature of reality over static being or existence.