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Question
If f(x) = (a – xn) 1/n, find f{f(x)}
If f(x) = (a – xn) 1/n, find f{f(x)}
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Solution
The correct option is C x
If f(x) = (a – xn) 1/n⇒f{f(x)}= (a – f(x) n) 1/n
= (a – [(a – xn) 1/n] n) 1/n
= (a-[a-xn])1/n
= (xn)1/n
= x
x
If f(x) = (a – xn) 1/n⇒f{f(x)}= (a – f(x) n) 1/n
= (a – [(a – xn) 1/n] n) 1/n
= (a-[a-xn])1/n
= (xn)1/n
= x
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