What is the inverse of f(x)=(6-6x)/(5-4x) ?

The inverse of f(x)=(6-6x)/(5-4x) is (6-5x)/(2(3-2x))

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inverse of f(x)=(6-6x)/(5-4x)

inverse

f (x) = \frac{6 - 6 x}{5 - 4 x}

\frac{6 - 5 x}{2 ( 3 - 2 x )}

Solution steps

y = \frac{6 - 6 x}{5 - 4 x}

Replace

x

with

y

x = \frac{6 - 6 y}{5 - 4 y}

Solve for

y, x = \frac{6 - 6 y}{5 - 4 y}

\frac{6 - 5 x}{2 ( 3 - 2 x )}

What is the inverse of f(x)=(6-6x)/(5-4x) ?
The inverse of f(x)=(6-6x)/(5-4x) is (6-5x)/(2(3-2x))