Question

If f(x) = (a-x^n)^1/n , where a>0 and n € N ,then f(x) is equal to​

Answer 1

you did mistake in typing, question should be -----> If f(x) = (a-x^n)^1/n , where a>0 and n € N ,then f(f(x)) is equal to


given, $f(x)=\sqrt[n]{a-x^n}$


now, $f(f(x))=\sqrt[n]{a-\{\sqrt[n]{a-x^n}\}^n}$


= $\sqrt[n]{a-a+x^n}$


= $\sqrt[n]{x^n}$


= x

hence, f(f(x)) = x

Answer 2

Answer:

x

Step-by-step explanation:

click on the above photo