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$If f : R \to R, f (f (x)) = (f (x))^{2}, then f f f (x) is not equal to$

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fx42

(f(x))4

fx22

fx4

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detailed solution

Correct option is A

Replacing f(x) by x, we have f(x)=x2 Now f(f(x))=fx2=x22=x4⇒f(f(f(x)))=fx4=x42=x8=(f(x))4 now fx22 =x8 and fx4 =x8

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If f:R→R,f(f(x))=(f(x))2 , then fff(x) is not equal to

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$If f : R \to R, f (f (x)) = (f (x))^{2}, then f f f (x) is not equal to$