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Functions question

2022 · 25 Jun · Shift 1 · Q42

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JEE Main
Mathematics
Functions
2022 · 25 Jun · Shift 1 · Q42

Functions question

2022 · 25 Jun · Shift 1 · Q42

JEE MainMathematicsFunctionsNumerical+4 / −1

Let

f:R \to R

be a function defined by

f(x) = {\left( {2\left( {1 - {{{x^{25}}} \over 2}} \right)(2 + {x^{25}})} \right)^{{1 \over {50}}}}

. If the function

g(x) = f(f(f(x))) + f(f(x))

, then the greatest integer less than or equal to g(1) is

\underline{\hspace{2cm}}

.

Numerical answer

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