Decide Whether the Composite Functions, F ° G and G $$f ( x ) = \sqrt [ 5 ] { x - 8 } , g ( x ) = x ^ { 5 } + 8$$

question 434

Multiple Choice

Decide whether the composite functions, f ° g and g ° f, are equal to x.
- $$f ( x ) = \sqrt [ 5 ] { x - 8 } , g ( x ) = x ^ { 5 } + 8$$

• A) Yes, yes
• B) Yes, no
• C) No, no
• D) No, yes

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Definitions:

Exemplars

Instances or examples that are typical of a class or group and are used for comparison or emulation.

Problem Solving Strategy

A method or plan of action used to find a solution to a problem or challenge.

Heuristics

Mental shortcuts or rules of thumb that simplify decision making, not guaranteed to be optimal, perfect, logical, or rational, but are sufficient for reaching an immediate goal.

Elimination

The process through which the body removes waste materials, such as urine and feces, from its systems.