What is the inverse of f(x)=(3x-4)/(5x+6) ?

The inverse of f(x)=(3x-4)/(5x+6) is (-4-6x)/(5x-3)

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inverse of f(x)=(3x-4)/(5x+6)

inverse

f (x) = \frac{3 x - 4}{5 x + 6}

\frac{- 4 - 6 x}{5 x - 3}

Solution steps

y = \frac{3 x - 4}{5 x + 6}

Replace

x

with

y

x = \frac{3 y - 4}{5 y + 6}

Solve for

y, x = \frac{3 y - 4}{5 y + 6}

\frac{- 4 - 6 x}{5 x - 3}

What is the inverse of f(x)=(3x-4)/(5x+6) ?
The inverse of f(x)=(3x-4)/(5x+6) is (-4-6x)/(5x-3)