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Popular >

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

Solution

inverse

f (x) = 2^{- x}

Solution

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

Solution steps

y = 2^{- x}

Replace

x

with

y

x = 2^{- y}

Solve for

y, x = 2^{- y}

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

Popular Examples

inverse of f(x)=10x-2 inverse

f (x) = 10 x - 2

parity f(x)=-x^4+x^2+1 parity

f (x) = - x^{4} + x^{2} + 1

periodicity of f(x)=5sin(1/4 x)periodicity

f (x) = 5 sin (\frac{1}{4} x)

extreme f(x)=-x^2+4x+2 extreme points

f (x) = - x^{2} + 4 x + 2

inverse of f(x)=2e^{x+1}-4 inverse

f (x) = 2 e^{x + 1} - 4

Frequently Asked Questions (FAQ)

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