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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 5 x - 10

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

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

f (x) = \frac{x + 24}{x - 6}

\frac{3}{x} + 4

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