If $f(x)=\frac{\left(\tan 1^\circ \right)x+{\log }_{e}(123)}{x{\log }_{e}(1234)-\left(\tan 1^\circ \right)},x0$ then the least value of $f(f(x))+f\left(f\left(\frac{4}{x}\right)\right)$ is [JEE Main 2023, 10 Apr (Shift 1)]

Question

If $f(x)=\frac{\left(\tan 1^\circ \right)x+{\log }_{e}(123)}{x{\log }_{e}(1234)-\left(\tan 1^\circ \right)},x>0$ then the least value of $f(f(x))+f\left(f\left(\frac{4}{x}\right)\right)$ is [JEE Main 2023, 10 Apr (Shift 1)]

YESPYQ · Accepted Answer

Options are free to see. Unlock the correct answer and full explanation with PYQ Pass.

If \(f(x)=\frac{\left(\tan 1^\circ \right)x+{\log }_{e}(123)}{x{\log }_{e}(1234)-\left(\tan 1^\circ \right)},x>0\) then …

Practice more JEE Maths PYQs