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Popular >

inverse of f(x)= 1/2 (1+e^x)

Solution

inverse

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

Solution

ln (2 x - 1)

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = \frac{1}{2} (1 + e^{y})

ln (2 x - 1)

Graph

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Frequently Asked Questions (FAQ)

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