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Popular >

inverse of f(x)=-(ln(1-x))

Solution

inverse

f (x) = - (ln (1 - x))

Solution

- e^{- x} + 1

Solution steps

y = - ln (1 - x)

Replace

x

with

y

x = - ln (1 - y)

Solve for

y, x = - ln (1 - y)

- e^{- x} + 1

Popular Examples

inverse of f(x)=8x^2-27,[0,infinity ]inverse

f (x) = 8 x^{2} - 27, [0, \infty]

inverse of f(x)= 1/(3x),x\ne 0 inverse

f (x) = \frac{1}{3 x}, x \neq = 0

inverse of f(x)=x^2+10x,x>=-5 inverse

f (x) = x^{2} + 10 x, x \geq - 5

inverse of f(x)=(ln(x/(3-x)))/4 inverse

f (x) = \frac{ln ( \frac{x}{3 - x} )}{4}

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

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

Frequently Asked Questions (FAQ)

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