JEE Main 2021 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 18 March 2021, Shift 1, Maths Q61

Question 61 of 90 in this shift, Maths question 1 of 30, Section A.

If the functions are defined as

f(x)=\sqrt{x}

and

g(x)=\sqrt{1-x}

, then what is the common domain of the following functions :

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

Option 2

NTA final key.

Same idea in other shifts