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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

x^{2} ln (\frac{x}{6})

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

f (x) = x^{4} + 4 x^{3} - 18 x^{2}

f (x) = 6 x^{4} + 3 x^{3} - 9 x^{2}

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