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

The inverse of f(x)=((4x-3x))/(4x-2) is (2x)/(4x-1)

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inverse of f(x)=((4x-3x))/(4x-2)

inverse

f (x) = \frac{( 4 x - 3 x )}{4 x - 2}

\frac{2 x}{4 x - 1}

Solution steps

y = \frac{4 x - 3 x}{4 x - 2}

Replace

x

with

y

x = \frac{4 y - 3 y}{4 y - 2}

Solve for

y, x = \frac{4 y - 3 y}{4 y - 2}

\frac{2 x}{4 x - 1}

What is the inverse of f(x)=((4x-3x))/(4x-2) ?
The inverse of f(x)=((4x-3x))/(4x-2) is (2x)/(4x-1)