f ( x ) = 2 ( e ^ { 0,5 x } + e ^ { - 0,5 x } )
Solve for f
f=\frac{2e^{-\frac{x}{2}}\left(e^{x}+1\right)}{x}
x\neq 0
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fx=2e^{0,5x}+2e^{-0,5x}
Use the distributive property to multiply 2 by e^{0,5x}+e^{-0,5x}.
xf=2e^{\frac{x}{2}}+2e^{-\frac{x}{2}}
The equation is in standard form.
\frac{xf}{x}=\frac{2e^{-\frac{x}{2}}\left(e^{x}+1\right)}{x}
Divide both sides by x.
f=\frac{2e^{-\frac{x}{2}}\left(e^{x}+1\right)}{x}
Dividing by x undoes the multiplication by x.
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