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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

ln (0.095)

f (x) = 2^{- 3 x + 4}

y = \frac{5 x}{3 x - 8}

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

f (x) = - 0.048 ln (x) + 0.0388

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