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}

\frac{2 x ^{- 3}}{x ^{5}}

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

sec (- 1)

f (x) = 4 e^{3 x}

f (x) = \frac{x + 6}{x + 1}

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)