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Popular >

inverse of e^{-2x}

Solution

inverse

e^{- 2 x}

Solution

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

Solution steps

y = e^{- 2 x}

Replace

x

with

y

x = e^{- 2 y}

Solve for

y, x = e^{- 2 y}

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

Popular Examples

symmetry (x-3)^2-4 symmetry

(x - 3)^{2} - 4

critical f(x)=2x(x+4)critical points

f (x) = 2 x (x + 4)

domain of f(x)=sqrt(4x-6)domain

f (x) = 4 x - 6

extreme f(x)=1125x-0.15x^3 extreme points

f (x) = 1125 x - 0.15 x^{3}

domain of y=(x-8)/((x-3)(x+5))domain

y = \frac{x - 8}{( x - 3 ) ( x + 5 )}

Frequently Asked Questions (FAQ)

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