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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

y = \frac{8 + x ^{4}}{x ^{2} - x ^{4}}

f (x) = - 3 x^{2} - 24 x - 46

4 x + 3 y = - 6

q = 20 - 2 p

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