What is the inverse of f(x)=(20)/(10+e^x) ?

The inverse of f(x)=(20)/(10+e^x) is ln((20)/x-10)

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inverse of f(x)=(20)/(10+e^x)

inverse

f (x) = \frac{20}{10 + e ^{x}}

ln (\frac{20}{x} - 10)

Solution steps

y = \frac{20}{10 + e ^{x}}

Replace

x

with

y

x = \frac{20}{10 + e ^{y}}

Solve for

y, x = \frac{20}{10 + e ^{y}}

ln (\frac{20}{x} - 10)

f (x) = sin (x - \frac{π}{2}) - 4

f (x) = 9 - x

f (x) = 5 x + 7

f (x) = \frac{2 x}{x - 4}

\frac{( x - 3 ) ( x + 1 )}{x + 2}

What is the inverse of f(x)=(20)/(10+e^x) ?
The inverse of f(x)=(20)/(10+e^x) is ln((20)/x-10)