Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>c+d = non-cont + non-diff of <span class="math-inline">\(f\circ g\)</span> on <span class="math-inline">\((-1,1)\)</span>:</p>
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>g={x} on (-1,1). fog is continuous (c=0). Non-diff at x where {x}=0,1/2 relative to corners of f: x=0,-1/2,1/2 and x=-1/2→d=4. c+d=4. <strong>Answer: 4</strong></p><div class="key-concept"><strong>Key Concept:</strong> Trace fog: corners of f at t=±1/2 create non-diff in g</div></div>
Correct Answer: 4