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

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

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

inverse

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

\frac{7 + 6 x}{2 ( 1 - 3 x )}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{7 + 6 x}{2 ( 1 - 3 x )}

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