What is the inverse of f(x)=-(1+8x)/(5-x) ?

The inverse of f(x)=-(1+8x)/(5-x) is (-1-5x)/(-x+8)

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inverse of f(x)=-(1+8x)/(5-x)

inverse

f (x) = - \frac{1 + 8 x}{5 - x}

\frac{- 1 - 5 x}{- x + 8}

Solution steps

y = - \frac{1 + 8 x}{5 - x}

Replace

x

with

y

x = - \frac{1 + 8 y}{5 - y}

Solve for

y, x = - \frac{1 + 8 y}{5 - y}

\frac{- 1 - 5 x}{- x + 8}

in v erse f (x) = e^{x} - e^{- x}

a sy m pt o t es f (x) = \frac{7 e ^{x}}{e ^{x} - 9}

in v erse f (x) = (x - 3)^{3} + 2

d o main f (x) = \frac{5}{x + 6}

in v erse (19 - x)^{\frac{1}{8}}

What is the inverse of f(x)=-(1+8x)/(5-x) ?
The inverse of f(x)=-(1+8x)/(5-x) is (-1-5x)/(-x+8)