If f(x) = (a – x)/n, a > 0 and n e N, then the value of f(f(x)) is
(a) 1/x
(b) x
(C) x²
(d) x½
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Answered by
1
Answer:
Here, f(x)=(a−x
n
)
1/n
,a>0 & n∈N
So, f(f(x))=f((a−x
n
)
1/n
)
so, put x→(a−x
n
)
1/n
f(f(x))=[a−[(a−x
n
)
1/n
]
n
]
1/n
=[a−(a−x
n
)
n/n
]
1/n
=(a−a+x
n
)
1/n
=(x
n
)
1/n
So,
f(f(x))=x
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