What is the inverse of f(x)=(6x-5)/(x+9) ?

The inverse of f(x)=(6x-5)/(x+9) is (-5-9x)/(x-6)

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inverse of f(x)=(6x-5)/(x+9)

inverse

f (x) = \frac{6 x - 5}{x + 9}

\frac{- 5 - 9 x}{x - 6}

Solution steps

y = \frac{6 x - 5}{x + 9}

Replace

x

with

y

x = \frac{6 y - 5}{y + 9}

Solve for

y, x = \frac{6 y - 5}{y + 9}

\frac{- 5 - 9 x}{x - 6}

f (x) = \frac{( 25 x ^{2} - 49 )}{x}

f (x) = 2 - 9 x

f (x) = - 6

f (x) = x^{2} + 1

f (x) = \frac{5 x + 1}{2 - 5 x}

What is the inverse of f(x)=(6x-5)/(x+9) ?
The inverse of f(x)=(6x-5)/(x+9) is (-5-9x)/(x-6)