<p>S = non-diff of <span class="math-inline">\(|2-|x-3||\)</span>. Find <span class="math-inline">\(\sum_{x\in S}f(f(x))\)</span>.</p>
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>S={1,3,5}. f(1)=0,f(3)=2,f(5)=0. f(f(1))=f(0)=1, f(f(3))=f(2)=1, f(f(5))=1. Sum=3. <strong>Answer: 3</strong></p><div class="key-concept"><strong>Key Concept:</strong> ||a|-b| non-diff at |x-c|=a and x=c</div></div>
Correct Answer: 3