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

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

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inverse of f(x)=((6x-4))/(2-x)

inverse

f (x) = \frac{( 6 x - 4 )}{2 - x}

- \frac{- 4 - 2 x}{6 + x}

Solution steps

y = \frac{6 x - 4}{2 - x}

Replace

x

with

y

x = \frac{6 y - 4}{2 - y}

Solve for

y, x = \frac{6 y - 4}{2 - y}

- \frac{- 4 - 2 x}{6 + x}

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