Huawei Company Numerical Ability Algebra

How many polynomial functions f of degree >=1 satisfy f(X2) = (f(X)) 2 =f(f(X)).
[GCE, GUWAHATI]
a) 1 b) 0 c) 2 d) more than 2

Read Solution (Total 1)

Let f(x) = x2
f(x2)=[x2]2=x4
(f(x))2=[x2]2=x4
f(f(x))=f(x2)=[x2]2=x4

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