Decide Whether the Composite Functions, F ° G and G $$f ( x ) = x ^ { 2 } + 1 , g ( x ) = \sqrt { x } - 1$$

question 301

Multiple Choice

Decide whether the composite functions, f ° g and g ° f, are equal to x.
- $$f ( x ) = x ^ { 2 } + 1 , g ( x ) = \sqrt { x } - 1$$

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

---

Definitions:

Syllogism

A form of reasoning in which a conclusion is drawn from two given or assumed premises, involving three terms that relate in a specific way.

Social Comparison

The process of evaluating oneself by comparing with others, often in terms of abilities, achievements, and social status.

Social Reference

A process where individuals look to others in their environment for cues on how to react or behave in unfamiliar situations.

Peer Review

The evaluation of work by one or more people of similar competence to the producers of the work, commonly used in academia and research.