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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

f (x) = \frac{9}{12 - x}

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

y = (x + 5)^{\frac{1}{2}}

e^{x - 5}

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