Question

Q21. F(x) = (a – xn)1/n , a>0 and nthen prove that f(f(x)) = x for all x.​

Answer 1

Answer:

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Answer 2

Answer:

f(f(x))=×

Step-by-step explanation:

Here, f(x)=(a−xn)1/n,a>0 & n∈N

So, f(f(x))=f((a−xn)1/n)

so, put x→(a−xn)1/n

f(f(x))=[a−[(a−xn)1/n]n]1/n

               =[a−(a−xn)n/n]1/n

               =(a−a+xn)1/n

               =(xn)1/n

So, f(f(x))=x