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Functions question

2022 · 27 Jul · Shift 2 · Q34

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PYQ Library
JEE Main
Mathematics
Functions
2022 · 27 Jul · Shift 2 · Q34

Functions question

2022 · 27 Jul · Shift 2 · Q34

JEE MainMathematicsFunctionsNumerical+4 / −1

The number of functions

f

, from the set

\mathrm{A}=\left\{x \in \mathbf{N}: x^{2}-10 x+9 \leq 0\right\}

to the set

\mathrm{B}=\left\{\mathrm{n}^{2}: \mathrm{n} \in \mathbf{N}\right\}

such that

f(x) \leq(x-3)^{2}+1

, for every

x \in \mathrm{A}

, is

\underline{\hspace{2cm}}

.

Numerical answer

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