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Popular >

inverse of y=1+2^{-x}

Solution

inverse

y = 1 + 2^{- x}

Solution

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

Solution steps

y = 1 + 2^{- x}

Replace

x

with

y

x = 1 + 2^{- y}

Solve for

y, x = 1 + 2^{- y}

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

Popular Examples

domain of 1/4 x^3-2 domain

\frac{1}{4} x^{3} - 2

inverse of f(x)= 1/5 x inverse

f (x) = \frac{1}{5} x

asymptotes of f(x)=x+3/(x+2)asymptotes

f (x) = x + \frac{3}{x + 2}

inverse of \sqrt[3]{(x-1)/4}inverse

inverse of f(x)=(2x+7)/3 inverse

f (x) = \frac{2 x + 7}{3}

Frequently Asked Questions (FAQ)

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