# Chapter 10 - Exponents and Radicals - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set - Page 647: 44

$f(x)=9|x-1|$

#### Work Step by Step

Using the properties of radicals, the given equation, $f(x)=\sqrt[]{81(x-1)^2} ,$ simplifies to \begin{array}{l}\require{cancel} f(x)=\sqrt[]{\left[ 9(x-1) \right]^2} \\\\ f(x)=|9(x-1)| \\\\ f(x)=9|x-1| \end{array}

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