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GATE EE 2017 Set 2 — Question 26

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MCQ+1 / -0.33MediumCalculusEngineering Mathematics

Engineering Mathematics → Calculus

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Let g(x)={−x,x≤1x+1,x≥1g(x) = \begin{cases} -x, & x \leq 1 \\ x + 1, & x \geq 1 \end{cases} and f(x)={1−x,x≤0x2,x>0f(x) = \begin{cases} 1 - x, & x \leq 0 \\ x^2, & x > 0 \end{cases}. Consider the composition of ff and gg, i.e., (f∘g)(x)=f(g(x))(f \circ g)(x) = f(g(x)). The number of discontinuities in (f∘g)(x)(f \circ g)(x) present in the interval (−∞,0)(-\infty, 0) is:
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