Question

If $f\left(x\right)$ = $(a-x^n{)}^{\frac{1}{n}}$ , where $a>0$ and $n$ is a positive interger , then $f\left[f\right(x\left)\right]$=

• A. x³
• B. x²
• C. x
• D. None of these

Answer 1

The correct option is C

x

$f\left[f\right(x\left)\right]=[a-\{f\left(x\right){\}}^n{]}^{\frac{1}{n}}=[a-(a-x^n){]}^{\frac{1}{n}}=x$