Topic explanation

Standard explanation

Composition means (f o g)(x)=f(g(x)); find the inner output first and check both domains.

Key points

• Composition of functions
• rule
• worked example
• Composition of functions: Composition means (f o g)(x)=f(g(x)); find the inner output first and check both domains.
• CONCEPT AND RULE: Composition means (f o g)(x)=f(g(x)); find the inner output first and check both domains.
• METHOD: For composition of functions, identify the given information and required result. Select the matchin
• Composition means (f o g)(x)=f(g(x)); find the inner output first and check both domains.
• Worked pattern: If f(x)=x+2 and g(x)=x^2, then (f o g)(x)=x^2+2.

Labelled diagram