Question

Let the function $f:\R→\R$ be defined by
$f(x)=\frac{\sin x}{e^{\pi x}}\frac{(x)^{2023}+2024x+2025}{(x^2-x+3)}+\frac{2}{e^{\pi x}}\frac{(x^{2023}+2024x+2025)}{(x^2-x+3)}$
Then the number of solutions of f (x) = 0 in $\R$ is __.

Answer 1

The correct answer is: 1.