What is the inverse of f(x)=((-2x))/((x-1)) ?

The inverse of f(x)=((-2x))/((x-1)) is x/(x+2)

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inverse of f(x)=((-2x))/((x-1))

inverse

f (x) = \frac{( - 2 x )}{( x - 1 )}

\frac{x}{x + 2}

Solution steps

y = \frac{- 2 x}{x - 1}

Replace

x

with

y

x = \frac{- 2 y}{y - 1}

Solve for

y, x = \frac{- 2 y}{y - 1}

\frac{x}{x + 2}

(- 4, 0), (0, - 8)

f (x) = \frac{1}{x - 5} + 3

y = 2 x - 2

\frac{1}{x}

(x^{2} - 16)^{6}

What is the inverse of f(x)=((-2x))/((x-1)) ?
The inverse of f(x)=((-2x))/((x-1)) is x/(x+2)