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Popular >

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

Solution

inverse

f (x) = 2^{- x} - 1

Solution

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

Solution steps

y = 2^{- x} - 1

Replace

x

with

y

x = 2^{- y} - 1

Solve for

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

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

Popular Examples

inverse of 201 inverse

201

inverse of 10/13 inverse

\frac{10}{13}

inverse of f(x)=(x+3)^2-5 inverse

f (x) = (x + 3)^{2} - 5

inverse of f(x)=((5+x))/(6-2x)inverse

f (x) = \frac{( 5 + x )}{6 - 2 x}

inverse of f(x)=(3x+1)/(-3x+5)inverse

f (x) = \frac{3 x + 1}{- 3 x + 5}

Frequently Asked Questions (FAQ)

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