f ( x ) = e ^ { - 0,5 x ^ { 2 } } + x ^ { 3 }
Solve for f
f=\frac{e^{-\frac{x^{2}}{2}}}{x}+x^{2}
x\neq 0
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xf=x^{3}+e^{-\frac{x^{2}}{2}}
The equation is in standard form.
\frac{xf}{x}=\frac{x^{3}+e^{-\frac{x^{2}}{2}}}{x}
Divide both sides by x.
f=\frac{x^{3}+e^{-\frac{x^{2}}{2}}}{x}
Dividing by x undoes the multiplication by x.
f=\frac{e^{-\frac{x^{2}}{2}}}{x}+x^{2}
Divide x^{3}+e^{-\frac{x^{2}}{2}} by x.
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