What is the inverse of f(x)=((3x-2))/(x+5) ?

The inverse of f(x)=((3x-2))/(x+5) is (-2-5x)/(x-3)

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inverse of f(x)=((3x-2))/(x+5)

inverse

f (x) = \frac{( 3 x - 2 )}{x + 5}

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

Solution steps

y = \frac{3 x - 2}{x + 5}

Replace

x

with

y

x = \frac{3 y - 2}{y + 5}

Solve for

y, x = \frac{3 y - 2}{y + 5}

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

\frac{8}{x}

x + 10

f (x) = - \frac{1}{6} x + 4

What is the inverse of f(x)=((3x-2))/(x+5) ?
The inverse of f(x)=((3x-2))/(x+5) is (-2-5x)/(x-3)