What is the inverse of f(x)=(-2x-5)/(6x-7) ?

The inverse of f(x)=(-2x-5)/(6x-7) is (-5+7x)/(2(1+3x))

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inverse of f(x)=(-2x-5)/(6x-7)

inverse

f (x) = \frac{- 2 x - 5}{6 x - 7}

\frac{- 5 + 7 x}{2 ( 1 + 3 x )}

Solution steps

y = \frac{- 2 x - 5}{6 x - 7}

Replace

x

with

y

x = \frac{- 2 y - 5}{6 y - 7}

Solve for

y, x = \frac{- 2 y - 5}{6 y - 7}

\frac{- 5 + 7 x}{2 ( 1 + 3 x )}

What is the inverse of f(x)=(-2x-5)/(6x-7) ?
The inverse of f(x)=(-2x-5)/(6x-7) is (-5+7x)/(2(1+3x))