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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = (3 x^{3} + 2)^{\frac{1}{5}}

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

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

f (x) = ln (x + x^{2} + 1)

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