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Mathematics · 2023

JEE Main · 31 January 2023, Shift 1 · Q86

Let for x ∈ R, f(x)=(x+|x|)/2 and g(x)= {x, x<0; x^2, x ≥ 0}. Then area bounded by the curve y=(f ° g)(x) and the lines y=0,2 y-x=15 is equal to ____.

Let for $\displaystyle x \in \mathbb{R}$, $$f(x)=\frac{x+|x|}{2} \text { and } g(x)=\left\{\begin{array}{cc} x, & x<0 \\ x^2, & x \geq 0 \end{array}\right. \text {. } $$ Then area bounded by the curve $\displaystyle y=(f \circ g)(x)$ and the lines $\displaystyle y=0,2 y-x=15$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.