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

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

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

inverse

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

\frac{- 1 - 2 x}{4 x - 3}

Solution steps

y = \frac{3 x - 1}{4 x + 2}

Replace

x

with

y

x = \frac{3 y - 1}{4 y + 2}

Solve for

y, x = \frac{3 y - 1}{4 y + 2}

\frac{- 1 - 2 x}{4 x - 3}

f (x) = \frac{12}{8 - x}

f (x) = 16 - x

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