Maths Olympiad Prep

Library / /86 of 176

, 2003

Algebra Difficulty 2.0 Junior Prove it Canada

The function f(x)f(x) has the property that f(2x+3)=2f(x)+3f(2x+3)=2f(x)+3 for all xx. If f(0)=6f(0)=6, what is the value of f(9)f(9)?

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.