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Functions question

2021 · 18 Mar · Shift 1 · Q35
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  5. /2021 · 18 Mar · Shift 1 · Q35

Functions question

2021 · 18 Mar · Shift 1 · Q35

JEE MainMathematicsFunctionsMCQ+4 / −1
If the functions are defined as f(x)=xf(x) = \sqrt xf(x)=x​ and g(x)=1−xg(x) = \sqrt {1 - x}g(x)=1−x​, then what is the common domain of the following functions : f + g, f −-− g, f/g, g/f, g −-− f where (f±g)(x)=f(x)±g(x),(f/g)x=f(x)g(x)(f \pm g)(x) = f(x) \pm g(x),(f/g)x = {{f(x)} \over {g(x)}}(f±g)(x)=f(x)±g(x),(f/g)x=g(x)f(x)​
  1. A
    0≤x≤10 \le x \le 10≤x≤1
  2. B
    0≤x<10 \le x \lt 10≤x<1
  3. C
    0<x<10 \lt x \lt 10<x<1
  4. D
    0<x≤10 \lt x \le 10<x≤1
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