What is the inverse of f(x)=(-2x-9)/(-6x-7) ?

The inverse of f(x)=(-2x-9)/(-6x-7) is (-9+7x)/(2(1-3x))

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inverse of f(x)=(-2x-9)/(-6x-7)

inverse

f (x) = \frac{- 2 x - 9}{- 6 x - 7}

\frac{- 9 + 7 x}{2 ( 1 - 3 x )}

Solution steps

y = \frac{- 2 x - 9}{- 6 x - 7}

Replace

x

with

y

x = \frac{- 2 y - 9}{- 6 y - 7}

Solve for

y, x = \frac{- 2 y - 9}{- 6 y - 7}

\frac{- 9 + 7 x}{2 ( 1 - 3 x )}

f (x) = - 8 x

f (x) = - 7 x

f (x) = - 16 - \frac{4}{3} x

f (x) = 6 x^{3} - 2

f (x) = x^{2} - 4 x - 12

What is the inverse of f(x)=(-2x-9)/(-6x-7) ?
The inverse of f(x)=(-2x-9)/(-6x-7) is (-9+7x)/(2(1-3x))