Question

Please help, how do I find the inverse of this function!

Answer 1

I would but I am in Honors Geometry Grade 9 not Calc.

Answer 2

\[y=\frac{e^x}{1+2e^x}\] solve for \(x\) or else write
\[x=\frac{e^y}{1+2e^y}\] and solve for \(y\)

Answer 3

\[x=\frac{e^y}{1+2e^y}\]
\[x(1+2e^y)=e^y\]
\[x+2xe^y=e^y\]
\[2xe^y-e^y=-x\]
\[(2x-1)e^y=-x\]
\[e^y=-\frac{x}{2x-1}\] whew

Answer 4

or if you prefer \(e^y=\frac{x}{1-2x}\) either way
now to get \(y\) take the log

Answer 5

@bkeith2698 thanks for trying

Answer 6

No problem @fall2012

Answer 7

@satellite73 , will y then be equal to \[-\log((2x-1)/-x)\]