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प्रश्न
If f : R → R be given by f(x) = (3 – x3)1/3, then fof(x) = ______.
रिकाम्या जागा भरा
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उत्तर
If f: R → R be given by f(x) = (3 – x3)1/3, then fof(x) = x.
Explanation:
f(x) = (3 – x3)1/3
fof(x) = f[f(x)]
fof(x) = f[3 – x3]1/3
= [3 – ((3 – x3)1/3)3]1/3
= [3 – (3 – x3)]1/3
= [3 – 3 + x3]1/3
= (x3)1/3
= x
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