What is the inverse of f(x)=(2x-1)/(6-5x) ?

The inverse of f(x)=(2x-1)/(6-5x) is -(-1-6x)/(2+5x)

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inverse of f(x)=(2x-1)/(6-5x)

inverse

f (x) = \frac{2 x - 1}{6 - 5 x}

- \frac{- 1 - 6 x}{2 + 5 x}

Solution steps

y = \frac{2 x - 1}{6 - 5 x}

Replace

x

with

y

x = \frac{2 y - 1}{6 - 5 y}

Solve for

y, x = \frac{2 y - 1}{6 - 5 y}

- \frac{- 1 - 6 x}{2 + 5 x}

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

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

f (x) = x - 2

y = - 3 (x - 4) + 5 (2 x - 1)

x^{2} - 6 x + 5

What is the inverse of f(x)=(2x-1)/(6-5x) ?
The inverse of f(x)=(2x-1)/(6-5x) is -(-1-6x)/(2+5x)