If f:R\rightarrow R is given by f\left ( x \right )= \left ( 3-x^{3} \right )^{\frac{1}{3}}, find  fof(x).

 

 

 

 
 
 
 
 

Answers (1)

fof\left ( x \right )= f\left ( f\left ( x \right ) \right )= f\left ( \left ( 3-x^{3} \right ) ^\frac{1}{3}\right )
                                     = \left ( 3-\left [ \left ( 3-x^{3} \right ) ^{\frac{1}{3}}\right ]^3 \right )^{\frac{1}{3}}
                                     =\left [ 3-\left [ 3-x^{3} \right ] \right ]^{\frac{1}{3}}
                                     \Rightarrow \left [ x^{3} \right ]^{\frac{1}{3}}= x

Preparation Products

Knockout NEET Sept 2020

An exhaustive E-learning program for the complete preparation of NEET..

₹ 15999/- ₹ 6999/-
Buy Now
Rank Booster NEET 2020

This course will help student to be better prepared and study in the right direction for NEET..

₹ 9999/- ₹ 4999/-
Buy Now
Knockout JEE Main Sept 2020

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 12999/- ₹ 6999/-
Buy Now
Test Series NEET Sept 2020

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 4999/- ₹ 2999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 11999/-
Buy Now
Exams
Articles
Questions