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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

- 4 x + y = 2

\frac{4 e ^{x}}{cos ( x )}

4 - (4 - x^{2})^{2}

(300.12) (500.6)

f (x) = \frac{4 - x ^{2}}{x ^{2} + x - 6}

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