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

The inverse of f(x)=(2+3x)/(4+3x) is (2-4x)/(3(-1+x))

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

inverse

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

\frac{2 - 4 x}{3 ( - 1 + x )}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{2 - 4 x}{3 ( - 1 + x )}

y = e^{- x}

2 - x + 3

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

2^{x} - 3

f (x) = \frac{5 x}{2 x - 3}

What is the inverse of f(x)=(2+3x)/(4+3x) ?
The inverse of f(x)=(2+3x)/(4+3x) is (2-4x)/(3(-1+x))