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Nature of Roots

if for x>0 f...

Question

if for x>0 f(x)=(2-x^n)^{1/n} and g(x)=x^{2 }+rx+s; r,s∈ R it is given g(x)-x=0 has imaginary roots then the number of real roots of the equation g(g(x))-f(f(x))=0 i

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f (x) = a x^{2} + b x + c

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f (x) - x = 0

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