Let $f$ be a function such that $f(x)+3 f\left(\frac{24}{x} ight)$ $=4 x, x
eq 0$. Then $f(3)+f(8)$ is equal to

Question

Let $f$ be a function such that $f(x)+3 f\left(\frac{24}{x}ight)$ $=4 x, x 
eq 0$. Then $f(3)+f(8)$ is equal to

Aicharya · Accepted Answer

$f(x)+3 f\left(\frac{24}{x}\right)=4 x$ Put $x=3 \quad f(3)+3 f(8)=12$ Put $x=8 \quad f(8)+3 f(3)=32$ Add both $\quad 4(\mathrm{f}(3)+\mathrm{f}(8))=44$ $f(3)+f(8)=11$

Let $f$ be a function such that $f(x)+3 f\left(\frac{24}{x}\right)$ $=4 x, x \neq 0$. Then $f(3)+f(8)$ is…

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