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Popular >

inverse of f(x)=e^{y-1}

Solution

inverse

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

Solution

ln (y) + 1

Solution steps

x = e^{y - 1}

Replace

y

with

x

y = e^{x - 1}

Solve for

x, y = e^{x - 1}

ln (y) + 1

Popular Examples

extreme f(x)=(6x-10)/(x^2-1)extreme points

f (x) = \frac{6 x - 10}{x ^{2} - 1}

inverse of f(x)= 3/7 x-6 inverse

f (x) = \frac{3}{7} x - 6

domain of 1/(-x+4)domain

\frac{1}{- x + 4}

extreme f(x)=x^3-4x^2-16x-3 extreme points

f (x) = x^{3} - 4 x^{2} - 16 x - 3

asymptotes of f(x)= 1/((x+1)^2)+2 asymptotes

f (x) = \frac{1}{( x + 1 ) ^{2}} + 2

Frequently Asked Questions (FAQ)

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