Finding Domain of Composite Functions

Given the domain of a composite function f(g(x)), find the domain of the inner function g(x) or the outer function f(x). Key principle: The domain of f(g(x)) i…

Syllabus path: Functions › Concepts and Properties of Functions › Domain of a Function

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CSCA Mathematics Concept & Principle Guide

Concept, principle, and explanation

Given the domain of a composite function f(g(x)), find the domain of the inner function g(x) or the outer function f(x). Key principle: The domain of f(g(x)) is the set of x such that the value of g(x) lies within the domain of f.

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Domain of a Function

Domain of a Function 1. Concept The domain of a function is the set of all possible values for the independent variable x. It is one of the three essential elements of a function. Simply put, the domain consists of all real numbers x for which the function y = f(x) is defined (ma…

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