What is the inverse of f(x)=(1+3x)/(6-6x) ?

The inverse of f(x)=(1+3x)/(6-6x) is -(1-6x)/(3(1+2x))

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inverse of f(x)=(1+3x)/(6-6x)

inverse

f (x) = \frac{1 + 3 x}{6 - 6 x}

- \frac{1 - 6 x}{3 ( 1 + 2 x )}

Solution steps

y = \frac{1 + 3 x}{6 - 6 x}

Replace

x

with

y

x = \frac{1 + 3 y}{6 - 6 y}

Solve for

y, x = \frac{1 + 3 y}{6 - 6 y}

- \frac{1 - 6 x}{3 ( 1 + 2 x )}

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

(x + 9)^{2}

f (x) = \frac{x ^{3} - 8}{x - 4}

f (x) = 3 (y + 4)^{2}

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

What is the inverse of f(x)=(1+3x)/(6-6x) ?
The inverse of f(x)=(1+3x)/(6-6x) is -(1-6x)/(3(1+2x))