What is the inverse of f(x)=(5x-1)/(2x+4) ?

The inverse of f(x)=(5x-1)/(2x+4) is (-1-4x)/(2x-5)

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inverse of f(x)=(5x-1)/(2x+4)

inverse

f (x) = \frac{5 x - 1}{2 x + 4}

\frac{- 1 - 4 x}{2 x - 5}

Solution steps

y = \frac{5 x - 1}{2 x + 4}

Replace

x

with

y

x = \frac{5 y - 1}{2 y + 4}

Solve for

y, x = \frac{5 y - 1}{2 y + 4}

\frac{- 1 - 4 x}{2 x - 5}

x^{4} + \frac{4}{3} x^{3} - 4 x^{2} - \frac{4}{3}

x^{2} - 2 x + 4

(2.8) (5.5)

\frac{x}{1 + 2 x}

\frac{3}{5 x ^{5}}

What is the inverse of f(x)=(5x-1)/(2x+4) ?
The inverse of f(x)=(5x-1)/(2x+4) is (-1-4x)/(2x-5)