What is the inverse of f(x)=(6x-5)/(x+3) ?

The inverse of f(x)=(6x-5)/(x+3) is (-5-3x)/(x-6)

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inverse of f(x)=(6x-5)/(x+3)

inverse

f (x) = \frac{6 x - 5}{x + 3}

\frac{- 5 - 3 x}{x - 6}

Solution steps

y = \frac{6 x - 5}{x + 3}

Replace

x

with

y

x = \frac{6 y - 5}{y + 3}

Solve for

y, x = \frac{6 y - 5}{y + 3}

\frac{- 5 - 3 x}{x - 6}

y = \frac{3}{4} x + 2 - 1

y = 1 - \frac{2 - x}{3}

f (- 35) = 3 x - 1

4 z

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

What is the inverse of f(x)=(6x-5)/(x+3) ?
The inverse of f(x)=(6x-5)/(x+3) is (-5-3x)/(x-6)