2024 THREE(c)

Find the $x$-value(s) of any stationary point(s) on the graph of the function $f(x)=\frac{x^2-5x+4}{x^2+5x+4}$.

You must use calculus and show any derivatives that you need to find when solving this problem.

You do not need to determine the nature of any stationary point(s) found.