Given the function f(x)=x^2-x^4, calculate (f o f o f o f)(1) .

Expert Answers

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We have f(x) = x^2 - x^4

(f o f o f o f)(1)

=> (f o f o f)(1^2 - 1^4)

=> (f o f o f)(0)

=> (f o f)(0^2 - 0^4)

=> (f o f)(0)

=> f(0)

=> 0

The required value of (f o f o f o f)(1) = 0

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