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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

tan (\frac{1}{2})

\frac{e ^{x}}{3 - 2 e ^{x}}

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

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

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