What is the inverse of f(x)=(-4x+4)/(x-5) ?

The inverse of f(x)=(-4x+4)/(x-5) is (4+5x)/(x+4)

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inverse of f(x)=(-4x+4)/(x-5)

inverse

f (x) = \frac{- 4 x + 4}{x - 5}

\frac{4 + 5 x}{x + 4}

Solution steps

y = \frac{- 4 x + 4}{x - 5}

Replace

x

with

y

x = \frac{- 4 y + 4}{y - 5}

Solve for

y, x = \frac{- 4 y + 4}{y - 5}

\frac{4 + 5 x}{x + 4}

\frac{1 - e ^{- x}}{1 + e ^{- x}}

(0.54, 1 0^{16}), (1307.9, 1 0^{17})

\frac{1}{x} + 2

f (x) = \frac{x ^{3}}{27}

0

What is the inverse of f(x)=(-4x+4)/(x-5) ?
The inverse of f(x)=(-4x+4)/(x-5) is (4+5x)/(x+4)