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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 4 x - 215

\frac{5 - 2 x}{4 x - 2}

\frac{3 - 2 x}{x - 5}

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

tan^{3} (x)

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