Functions Question 534
Question: If $ f(x)={{(a-x^{n})}^{1/n}}, $ where $ a>0 $ and n is a positive integer, then $ f
[f(x)]= $ [IIT 1983; UPSEAT 2001, 04]
Options:
A) $ x^{3} $
B) $ x^{2} $
C) $ x $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ f[f(x)]={{[a-{{{ f(x) }}^{n}}]}^{1/n}}={{[a-(a-x^{n})]}^{1/n}}=x $ .
BETA
