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Popular >

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

Solution

inverse

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

Solution

- ln (x - 1)

Solution steps

y = \frac{e ^{x} + 1}{e ^{x}}

Replace

x

with

y

x = \frac{e ^{y} + 1}{e ^{y}}

Solve for

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

- ln (x - 1)

Graph

Popular Examples

inverse of y=2(x-3)^2+4 inverse

y = 2 (x - 3)^{2} + 4

inverse of (3x-5)/(2x+1)inverse

\frac{3 x - 5}{2 x + 1}

inverse of f(x)=(3x-7)/(5x+2)inverse

f (x) = \frac{3 x - 7}{5 x + 2}

inverse of f(y)=0 inverse

f (y) = 0

inverse of f(x)=((7\sqrt[5]{x}-5))/6 inverse

f (x) = \frac{( 7 5 x - 5 )}{6}

Frequently Asked Questions (FAQ)

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