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Popular >

inverse of f(x)= 1/(e^x)

Solution

inverse

f (x) = \frac{1}{e ^{x}}

Solution

- ln (x)

Solution steps

y = \frac{1}{e ^{x}}

Replace

x

with

y

x = \frac{1}{e ^{y}}

Solve for

y, x = \frac{1}{e ^{y}}

- ln (x)

Popular Examples

inflection (-3)/(x^2)inflection points

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

line (-9,-3),(7,-7)line

(- 9, - 3), (7, - 7)

domain of x/(x^2-1)domain

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

domain of f(x)= x/(x^2+49)domain

f (x) = \frac{x}{x ^{2} + 49}

range of f(x)=x^2-2x+1 range

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

Frequently Asked Questions (FAQ)

What is the inverse of f(x)= 1/(e^x) ?
The inverse of f(x)= 1/(e^x) is -ln(x)