Functions: Let f be a function such that f(x)+3f ((24)/(x) )=4x , xneq0 . Then… | JEE Main 2025 | Yukti Vault

Yukti Vault

JEE Main 2025 (Online) 3rd April Evening ShiftQuestion 1

Let $f$ be a function such that $f(x)+3f\left(\frac{24}{x}\right)=4x$, $x\neq0$. Then $f(3)+f(8)$ is equal to

Functions

$10$$11$✓ Correct answer$12$$13$

Solution

$x=3$: $f(3)+3f(8)=12$; $x=8$: $f(8)+3f(3)=32$. Adding: $4(f(3)+f(8))=44$, so the sum is $11$.

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