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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

(25, 0), (30, 1)

f (x) = x^{2} - 5 x + 6

\frac{- 8 x + 75}{9 x - 61}

f (x) = \frac{3 x ^{2} + 6 x + 3}{x ^{2} + x}

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