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CBSE Class 12 Math 2020 Outside Delhi Set 1 Solved Paper

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In Q. Nos. 11 to 15, fill in the blanks with correct word / sentence :
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Question : 11 of 36
Marks: +1, -0
If f:R→Rf: R \rightarrow R be given by f(x)=(3−x3)13f(x) = (3 - x^3)^{\frac{1}{3}}, then fof(x)=fof(x) =____
Solution:     👈: Video Solution
f(x)=(3−x3)13f(x) = (3 - x^3)^{\frac{1}{3}}
Now, fof (x)=f[f(x)](x) = f[f(x)]
=[3−(f(x))3]13= [3 - (f(x))^3]^{\frac{1}{3}}
=[3−((3−x3)13)3]13= \left[3 - \left((3 - x^3)^{\frac{1}{3}}\right)^3\right]^{\frac{1}{3}}
=(x3)13=x= (x^3)^{\frac{1}{3}} = x
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