JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 4 April 2024, Shift 2, Maths Q21

Question 21 of 90 in this shift, Maths question 21 of 30, Section B.

Consider the function

f:\mathbb{R}\to\mathbb{R}

defined by

f(x)=\frac{2x}{\sqrt{1+9x^2}}

. If the composition of

f

(\underbrace{f\circ f\circ f\circ\cdots\circ f}_{10\ \text{times}})(x)=\frac{2^{10}x}{\sqrt{1+9\alpha x^2}}

, then the value of

\sqrt{3\alpha+1}

is equal to ______

Official answer

1024

NTA final key.