What is the inverse of f(x)=-2^{(-x)/c}+1 ?

The inverse of f(x)=-2^{(-x)/c}+1 is -(cln(1-x))/(ln(2))

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inverse of f(x)=-2^{(-x)/c}+1

inverse

f (x) = - 2^{\frac{- x}{c}} + 1

- \frac{c ln ( 1 - x )}{ln ( 2 )}

Solution steps

y = - 2^{\frac{- x}{c}} + 1

Replace

x

with

y

x = - 2^{\frac{- y}{c}} + 1

Solve for

y, x = - 2^{\frac{- y}{c}} + 1

- \frac{c ln ( 1 - x )}{ln ( 2 )}

y = 4 x - 215

f (x) = \frac{x + 6}{x + 9}

f (x) = ln (x)

3 x^{2} - 3 x + 1

f (x) = \frac{4 x}{5 x - 7}

What is the inverse of f(x)=-2^{(-x)/c}+1 ?
The inverse of f(x)=-2^{(-x)/c}+1 is -(cln(1-x))/(ln(2))