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}

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)