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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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