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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

g (x) = \frac{x - 2}{1 - 3 x}

f (x) = (x^{2})

f (x) = 6 (x - 2)^{\frac{2}{3}}

y = 34

f (x) = e^{2 x - 9}

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