Sets, Relations and Functions: JEE Main 2019 Mathematics question

JEE Main 2019 · 9 Jan, Morning shift · Q3815

JEE Main 20199 Jan, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

For

x \in R - \left\{ {0,1} \right\}

, Let f₁(x) =

1\over x

, f₂ (x) = 1 – x and f₃ (x) =

1 \over {1 - x}

be three given functions. If a function, J(x) satisfies (f₂ o J o f₁) (x) = f₃ (x) then J(x) is equal to :

JEE Main 2019 · 9 Jan, Morning shift · Q3815

JEE Main 20199 Jan, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

For

x \in R - \left\{ {0,1} \right\}

, Let f₁(x) =

1\over x

, f₂ (x) = 1 – x and f₃ (x) =

1 \over {1 - x}

be three given functions. If a function, J(x) satisfies (f₂ o J o f₁) (x) = f₃ (x) then J(x) is equal to :

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