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Popular >

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

Solution

inverse

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

Solution

ln (\frac{x - 1}{2}) + 1

Solution steps

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

Replace

x

with

y

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

Solve for

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

ln (\frac{x - 1}{2}) + 1

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Frequently Asked Questions (FAQ)

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