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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

y = 3 x - 8

f (x) = \frac{4 x - 7}{12}

x^{2} - 8 x + 16

133

y = \frac{4 x - 1}{2 x + 3}

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