First slide

Functions (XII)

Question

If $f (x) = {(a - x^{n})}^{\frac{1}{n}}$ then $f o f (x)$ is

Easy

A

x
B

$a - x$
C

$x^{n}$
D

$x^{\frac{- 1}{n}}$

Solution

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

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