Evaluate (complex solution)
fx=\frac{3\left(x+5\right)}{2\left(4x+19\right)},x\neq 4
Solve for x
\left\{\begin{matrix}x=-\frac{\sqrt{1444f^{2}+252f+9}+38f-3}{16f}\text{, }&f\leq -\frac{6\sqrt{5}}{361}-\frac{63}{722}\text{ or }\left(f\neq 0\text{ and }f\geq \frac{6\sqrt{5}}{361}-\frac{63}{722}\right)\\x=-\frac{-\sqrt{1444f^{2}+252f+9}+38f-3}{16f}\text{, }&\left(f\neq -\frac{1}{8}\text{ and }f\leq -\frac{6\sqrt{5}}{361}-\frac{63}{722}\right)\text{ or }\left(f\geq \frac{6\sqrt{5}}{361}-\frac{63}{722}\text{ and }f\neq 0\text{ and }f\neq \frac{27}{280}\right)\end{matrix}\right.
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