What is the inverse of f(x)=(2x-1)/(5x-1) ?

The inverse of f(x)=(2x-1)/(5x-1) is (-1+x)/(5x-2)

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inverse of f(x)=(2x-1)/(5x-1)

inverse

f (x) = \frac{2 x - 1}{5 x - 1}

\frac{- 1 + x}{5 x - 2}

Solution steps

y = \frac{2 x - 1}{5 x - 1}

Replace

x

with

y

x = \frac{2 y - 1}{5 y - 1}

Solve for

y, x = \frac{2 y - 1}{5 y - 1}

\frac{- 1 + x}{5 x - 2}

What is the inverse of f(x)=(2x-1)/(5x-1) ?
The inverse of f(x)=(2x-1)/(5x-1) is (-1+x)/(5x-2)