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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

17 m^{2} + 50 m + 165

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

f (x) = - 3 2 x - 1 - 4

f (x) = - \frac{4}{3} x + 8

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