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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{5 x - 3}{1 - 4 x}

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

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

f (x) = 69 - 15 x

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

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