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

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

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

inverse

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

\frac{2 - 2 x}{3 x + 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{2 - 2 x}{3 x + 1}

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

f (x) = \frac{- 15 - 8 x}{3}

f (x) = - 3 (x + 1)^{2} - 2

\frac{2 x + 4}{5}

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