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Popular Functions >

inverse of f(x)=(5e^x-2)/(e^x+8)

Solution

inverse

Solution

ln (\frac{- 2 - 8 x}{x - 5})

Solution steps

y = \frac{5 e ^{x} - 2}{e ^{x} + 8}

Replace

x

with

y

x = \frac{5 e ^{y} - 2}{e ^{y} + 8}

Solve for

y, x = \frac{5 e ^{y} - 2}{e ^{y} + 8}

ln (\frac{- 2 - 8 x}{x - 5})

Graph

Popular Examples

range of 2/(x+5)

intercepts of f(x)=x^2+9x+18

domain of 9/(x-8)

domain of (1-4t)/(5+t)

domain of f(x)= 1/(sqrt(9-x^2))

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=(5e^x-2)/(e^x+8) ?
The inverse of f(x)=(5e^x-2)/(e^x+8) is ln((-2-8x)/(x-5))