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

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

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inverse of f(x)=(6x+6)/(5x+7)

inverse

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

\frac{6 - 7 x}{5 x - 6}

Solution steps

y = \frac{6 x + 6}{5 x + 7}

Replace

x

with

y

x = \frac{6 y + 6}{5 y + 7}

Solve for

y, x = \frac{6 y + 6}{5 y + 7}

\frac{6 - 7 x}{5 x - 6}

f (x) = \frac{y}{4} - \frac{y ^{2}}{2} - \frac{1}{8}

\frac{e ^{x} - 6}{5 - e ^{x}}

\frac{1 - 3 x}{2 x + 1}

f (x) = \frac{- 3 x + 6}{4 x + 9}

\frac{2 x + 1}{x - 4}

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