JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

f

be a continuous real function such that

f(11)=10

and for all

x, f(x) f(f(x))=1

then

f(9)=

View answer and explanation

Correct option: B

\frac{1}{9}

Option B (

\frac{1}{9}

) is correct because by using the given functional equation and the Intermediate Value Theorem, we can deduce that

f(9) = \frac{1}{9}

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