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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

y = 2 x (6 - x)

8 (\frac{x + 3}{4}) + 5

x - 2 + 6

x - 2 - 5

f (x) = ln (\frac{x}{20})

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