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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{6}{11} (x^{2} - 9)^{\frac{2}{3}}

- \frac{1}{3} cos (3 x)

(x - 2)^{3} (x - 1)

f (x) = \frac{7 x - 4}{8}

5 x - 6 y = 4, (3, 5)

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