What is the inverse of f(x)=(2x-1)/(x+5) ?

The inverse of f(x)=(2x-1)/(x+5) is (-1-5x)/(x-2)

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inverse of f(x)=(2x-1)/(x+5)

inverse

f (x) = \frac{2 x - 1}{x + 5}

\frac{- 1 - 5 x}{x - 2}

Solution steps

y = \frac{2 x - 1}{x + 5}

Replace

x

with

y

x = \frac{2 y - 1}{y + 5}

Solve for

y, x = \frac{2 y - 1}{y + 5}

\frac{- 1 - 5 x}{x - 2}

y = - 5 x + 3

2 x^{2} + 3

(- 2, - 2), (3, - 6)

\frac{- 3 x + 6}{2}

4 x - 2

What is the inverse of f(x)=(2x-1)/(x+5) ?
The inverse of f(x)=(2x-1)/(x+5) is (-1-5x)/(x-2)