JEE Main 2026 Mathematics question
Let and g(x)=f(|x|)+|f(x)|. If the number of points where g is not continuous and is not differentiable are α and β respectively, then α+β is equal to .
Answer: 4
Solution
For x≥0, g(x)=2(x²−5x+6) if x≤2 or x≥3, else 0. For x<0, g(x)=x²+5x+6+. At x=0 the two pieces give different values (12 vs 6+1/e),
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