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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = \frac{3 - 2 y}{3 y + 1}

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

y = x^{4}

f (x) = (x + 1)^{2}, x \geq - 1

3 (\frac{1}{4})^{x - 2} + 4

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

4 t^{2} + 1

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