Sets, Relations and Functions: JEE Main 2021 Mathematics question

JEE Main 2021 · 18 Mar, Morning shift · Q3823

JEE Main 202118 Mar, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

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 = {{f(x)} \over {g(x)}}