What is the inverse of f(x)=(2x-1)/(x+3) ?

The inverse of f(x)=(2x-1)/(x+3) is (-1-3x)/(x-2)

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inverse of f(x)=(2x-1)/(x+3)

inverse

f (x) = \frac{2 x - 1}{x + 3}

\frac{- 1 - 3 x}{x - 2}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 1 - 3 x}{x - 2}

f (x) = 3 x + 6

(1, 5), (4, 11)

f (x) = 6 - (\frac{2}{2 x - 1})

f (x) = e^{x} - 2 e^{- x} - 3 x

f (x) = (0, 3), (4, 2), (5, - 6)

What is the inverse of f(x)=(2x-1)/(x+3) ?
The inverse of f(x)=(2x-1)/(x+3) is (-1-3x)/(x-2)