What is the inverse of f(x)=(3x-2)/(2x+4) ?

The inverse of f(x)=(3x-2)/(2x+4) is (-2-4x)/(2x-3)

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inverse of f(x)=(3x-2)/(2x+4)

inverse

f (x) = \frac{3 x - 2}{2 x + 4}

\frac{- 2 - 4 x}{2 x - 3}

Solution steps

y = \frac{3 x - 2}{2 x + 4}

Replace

x

with

y

x = \frac{3 y - 2}{2 y + 4}

Solve for

y, x = \frac{3 y - 2}{2 y + 4}

\frac{- 2 - 4 x}{2 x - 3}

y = \frac{1}{1 - e ^{\frac{- x}{2}}}

ln (1 + x^{2})

f (x) = \frac{15 - 4 x}{4 - x}

f (x) = - (x + 5)^{2} - 4

3 tan (2 x - \frac{π}{3})

What is the inverse of f(x)=(3x-2)/(2x+4) ?
The inverse of f(x)=(3x-2)/(2x+4) is (-2-4x)/(2x-3)