What is the inverse of f(x)=(12x-1)/(2x+4) ?

The inverse of f(x)=(12x-1)/(2x+4) is (-1-4x)/(2(-6+x))

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inverse of f(x)=(12x-1)/(2x+4)

inverse

f (x) = \frac{12 x - 1}{2 x + 4}

\frac{- 1 - 4 x}{2 ( - 6 + x )}

Solution steps

y = \frac{12 x - 1}{2 x + 4}

Replace

x

with

y

x = \frac{12 y - 1}{2 y + 4}

Solve for

y, x = \frac{12 y - 1}{2 y + 4}

\frac{- 1 - 4 x}{2 ( - 6 + x )}

f (x) = \frac{8 x + 9}{9}

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

f (x) = x^{2} + 2 x + 111

f (x) = 5 x^{2} - 39

What is the inverse of f(x)=(12x-1)/(2x+4) ?
The inverse of f(x)=(12x-1)/(2x+4) is (-1-4x)/(2(-6+x))