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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{6 x - 1}{2 x + 9}

f (x) = 8 + x^{3}

f (x) = \frac{x}{2} + 4

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

\frac{1}{2} x + 2

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