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) = (5 5 x + 9)^{3}

2 x^{2} + 6

f (x) = x - 8, x \geq 8

f (x) = \frac{6}{x} + 3

x + 2 - 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)