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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

x^{3} - 7 x + 6

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

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

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

y = 3^{x}

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