If f(x) = cases x-3, & x<0 x^2-3x+2, & x 0 cases and let

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If f(x)={x−3,x<0x2−3x+2,x≥0f(x) = \begin{cases} x-3, & x<0 \\ x^2-3x+2, & x \ge 0 \end{cases} and let g(x)=f(∣x∣)+∣f(x)∣g(x) = f(|x|) + |f(x)| . Discuss the differentiability of g(x)g(x) .

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