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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

- x^{2} - 4 x + 4

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

\frac{1}{5} x + 2

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

\frac{1}{1 + cos ( x )}

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