Topic explanation

Standard explanation

Correct inverses satisfy f(f^-1(x))=x and f^-1(f(x))=x on the proper domains.

Key points

• Inverse verification
• rule
• worked example
• Inverse verification: Correct inverses satisfy f(f^-1(x))=x and f^-1(f(x))=x on the proper domains.
• CONCEPT AND RULE: Correct inverses satisfy f(f^-1(x))=x and f^-1(f(x))=x on the proper domains.
• METHOD: For inverse verification, identify the given information and required result. Select the matching de
• Correct inverses satisfy f(f^-1(x))=x and f^-1(f(x))=x on the proper domains.
• Worked pattern: For f(x)=2x+5, f(x-52)=x.

Labelled diagram