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 )}

\frac{1}{x - 3} + 7

f (x) = \frac{x}{7 x - 5}

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

f (x) = \frac{4}{x + 2} + 8

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

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))