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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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