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

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

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

inverse

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

\frac{3 + 2 x}{3 x + 2}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{3 + 2 x}{3 x + 2}

f (x) = \frac{9 x}{4 x - 3}

y = \frac{x + 3}{x}

\frac{2 - x}{5}

\frac{d}{d} 2 x^{2}

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