What is the inverse of f(x)=(5x-1)/(3x+2) ?

The inverse of f(x)=(5x-1)/(3x+2) is (-1-2x)/(3x-5)

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inverse of f(x)=(5x-1)/(3x+2)

inverse

f (x) = \frac{5 x - 1}{3 x + 2}

\frac{- 1 - 2 x}{3 x - 5}

Solution steps

y = \frac{5 x - 1}{3 x + 2}

Replace

x

with

y

x = \frac{5 y - 1}{3 y + 2}

Solve for

y, x = \frac{5 y - 1}{3 y + 2}

\frac{- 1 - 2 x}{3 x - 5}

f (x) = 2 lo g_{7} (x - 12)

f (x) = 3 (x - 4)

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

4 x - \frac{1}{3}

What is the inverse of f(x)=(5x-1)/(3x+2) ?
The inverse of f(x)=(5x-1)/(3x+2) is (-1-2x)/(3x-5)