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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 2 3 x + 1 + 4

f (x) = \frac{2 ^{x}}{2 ^{x} + 1}

f (x) = \frac{- 3 x - 11}{2 x - 8}

f (x) = (x^{3} + 25)

f (x) = 6 x + 7 - 9

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