Solve for f
f=-x-\frac{1}{x}
x\neq 0
Solve for x (complex solution)
x=\frac{-\sqrt{f^{2}-4}-f}{2}
x=\frac{\sqrt{f^{2}-4}-f}{2}
Solve for x
x=\frac{-\sqrt{f^{2}-4}-f}{2}
x=\frac{\sqrt{f^{2}-4}-f}{2}\text{, }|f|\geq 2
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-fx=x^{2}+1
Reorder the terms.
\left(-x\right)f=x^{2}+1
The equation is in standard form.
\frac{\left(-x\right)f}{-x}=\frac{x^{2}+1}{-x}
Divide both sides by -x.
f=\frac{x^{2}+1}{-x}
Dividing by -x undoes the multiplication by -x.
f=-x-\frac{1}{x}
Divide x^{2}+1 by -x.
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Limits
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