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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{3 x + 4}{8}

\frac{x + 3}{5 x - 2}

W (x) = 715 x + 2

4 - x + 6

ln (x + 1 + x^{2})

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