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Popular Functions >

inverse of f(x)=(e^x)/(5+e^2)

Solution

inverse

f (x) = \frac{e ^{x}}{5 + e ^{2}}

Solution

ln (x (5 + e^{2}))

Solution steps

y = \frac{e ^{x}}{5 + e ^{2}}

Replace

x

with

y

x = \frac{e ^{y}}{5 + e ^{2}}

Solve for

y, x = \frac{e ^{y}}{5 + e ^{2}}

ln (x (5 + e^{2}))

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=(e^x)/(5+e^2) ?
The inverse of f(x)=(e^x)/(5+e^2) is ln(x(5+e^2))