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Popular >

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

Solution

inverse

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

Solution

ln (x + 1)

Solution steps

y = e^{x} - 1

Replace

x

with

y

x = e^{y} - 1

Solve for

y, x = e^{y} - 1

ln (x + 1)

Popular Examples

slope ofintercept y=2x-3 slope intercept

y = 2 x - 3

extreme 3x^3-2x^2-5x+4 extreme points

3 x^{3} - 2 x^{2} - 5 x + 4

range of f(x)=(5x^2+20x+23)/(x^2+4x+5)range

f (x) = \frac{5 x ^{2} + 20 x + 23}{x ^{2} + 4 x + 5}

domain of (3-x^2)/(x^2-4)domain

\frac{3 - x ^{2}}{x ^{2} - 4}

symmetry y=(x+1)^2-9 symmetry

y = (x + 1)^{2} - 9

Frequently Asked Questions (FAQ)

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