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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = ln (\frac{e ^{x}}{e ^{x} - 1})

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

f (x) = ln (x^{2} - 4) + π

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

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

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