Solve for f
f=x-4-\frac{5}{x}
f=-x+4+\frac{5}{x}\text{, }\left(x>0\text{ and }x\leq 5\right)\text{ or }x\leq -1
Solve for x
x=\frac{\sqrt{f^{2}-8|f|+36}}{2}-\frac{|f|}{2}+2
x=-\frac{\sqrt{f^{2}-8|f|+36}}{2}-\frac{|f|}{2}+2
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