Mathematics · 2021
JEE Main · 18 March 2021, Shift 1 · Q61
If the functions are defined as f(x)=√ x and g(x)=√(1-x), then what is the common domain of the following functions: f+g, f-g, f / g, g / f, g-f…
If the functions are defined as $\displaystyle f(x)=\sqrt{x}$ and $\displaystyle g(x)=\sqrt{1-x}$, then what is the common domain of the following functions : $\displaystyle f+g, f-g, f / g, g / f, g-f$ where
$$(f \pm g)(x)=f(x) \pm g(x),(f / g)(x)=\frac{f(x)}{g(x)}
$$
Official answer
(2)
$\displaystyle 0<x<1$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.