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Popular >

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

Solution

inverse

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

Solution

ln (x - 2) + 1

Solution steps

y = e^{x - 1} + 2

Replace

x

with

y

x = e^{y - 1} + 2

Solve for

y, x = e^{y - 1} + 2

ln (x - 2) + 1

Popular Examples

inflection f(x)= 1/(1+x^2)inflection points

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

domain of f(x)=sqrt(1-5x)domain

f (x) = 1 - 5 x

intercepts of f(x)= 2/(x^2-9)intercepts

f (x) = \frac{2}{x ^{2} - 9}

asymptotes of f(x)=(2(x+2))/(x^2-x-6)asymptotes

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

inverse of f(x)=2x-1 inverse

f (x) = 2 x - 1

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=e^{x-1}+2 ?
The inverse of f(x)=e^{x-1}+2 is ln(x-2)+1