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Functions question

2024 · 29 Jan · Shift 1 · Q40

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PYQ Library
JEE Main
Mathematics
Functions
2024 · 29 Jan · Shift 1 · Q40

Functions question

2024 · 29 Jan · Shift 1 · Q40

JEE MainMathematicsFunctionsMCQ+4 / −1

If

f(x)=\left\{\begin{array}{cc}2+2 x, & -1 \leq x \lt 0 \\ 1-\frac{x}{3}, & 0 \leq x \leq 3\end{array} ; g(x)=\left\{\begin{array}{cc}-x, & -3 \leq x \leq 0 \\ x, & 0 \lt x \leq 1\end{array}\right.\right.

, then range of

(f o g)(x)

is

A
$[0,1)$
B
$[0,3)$
C
$(0,1]$
D
$[0,1]$

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