If {\f}: {\R} \to {\R} be given by {\f}(x)= (3-x^3) ^{1 \/ 3}, then {\fof}(x)=____

CBSE Class 12 Math 2020 Outside Delhi Set 1 Solved Paper

In Q. Nos. 11 to 15, fill in the blanks with correct word / sentence :

Question : 11 of 36

Marks: +1, -0

{\f}: {\R} → {\R}

be given by

{\f}(x)= (3-x^3) ^{1 \/ 3}

, then

{\fof}(x)=

____

Solution:

f(x)= (3-x^3) ^{1 \/ 3}

Now, fof

(x)=f[f(x)]

= [3-(f(x))^3] ^{1 \/ 3}

= [3- ( (3-x^3) ^{1 \/ 3}) ^3] ^{1 \/ 3}

= (x^3) ^{1 \/ 3}=x

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