What is the inverse of f(x)=(2x-3)/(5x+1) ?

The inverse of f(x)=(2x-3)/(5x+1) is (-3-x)/(5x-2)

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inverse of f(x)=(2x-3)/(5x+1)

inverse

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

\frac{- 3 - x}{5 x - 2}

Solution steps

y = \frac{2 x - 3}{5 x + 1}

Replace

x

with

y

x = \frac{2 y - 3}{5 y + 1}

Solve for

y, x = \frac{2 y - 3}{5 y + 1}

\frac{- 3 - x}{5 x - 2}

f (x) = \frac{6}{x + 9}

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

sin (2)

f (x) = \frac{1 - x}{9 - 12 x}

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

What is the inverse of f(x)=(2x-3)/(5x+1) ?
The inverse of f(x)=(2x-3)/(5x+1) is (-3-x)/(5x-2)