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Home » The Shocking Truth About Naugahyde That’s Taking the World by Storm! - Londonproperty

The Shocking Truth About Naugahyde That’s Taking the World by Storm! - Londonproperty

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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Let’s try constant functions first. Suppose $ f(x) = c $ for all $ x $...
$ f(a + b + c) = c $, and $ f(a) + f(b) + f(c) = c + c + c = 3c $, so...
Also, $ f(ab) = 0 = 0 \cdot 0 = f(a)f(b) $, so the zero function works...
Now suppose $ f $ is not constant.
Let’s try additive functions satisfying both properties. From the addi...
f(a + b) = f(a) + f(b)
So $ f $ is additive. Also, from the multiplicative condition:
So $ f $ is both additive and multiplicative. These are very restricti...
Known result: The only functions $ f : \mathbb{R} \to \mathbb{R} $ tha...
$ f(x) = 0 $ for all $ x $

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