Let … be defined by …. Then the value of … for which (fof)(x) = x, for all …, is :

Functions

JEE Main 2021 · 20 Jul, Evening shift · Q3824

MathematicsEasy110×since 2002Q3824

Let

f:R - \left\{ {{\alpha \over 6}} \right\} \to R

be defined by

f(x) = {{5x + 3} \over {6x - \alpha }}

. Then the value of

\alpha

for which (fof)(x) = x, for all

x \in R - \left\{ {{\alpha \over 6}} \right\}

, is :

JEE Main 2021 · 20 Jul, Evening shift · Q3824

MathematicsEasy110×since 2002Q3824

Let

f:R - \left\{ {{\alpha \over 6}} \right\} \to R

be defined by

f(x) = {{5x + 3} \over {6x - \alpha }}

. Then the value of

\alpha

for which (fof)(x) = x, for all

x \in R - \left\{ {{\alpha \over 6}} \right\}

, is :