What is the inverse of f(x)=(3x+1)/(5-2x) ?

The inverse of f(x)=(3x+1)/(5-2x) is -(1-5x)/(3+2x)

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inverse of f(x)=(3x+1)/(5-2x)

inverse

f (x) = \frac{3 x + 1}{5 - 2 x}

- \frac{1 - 5 x}{3 + 2 x}

Solution steps

y = \frac{3 x + 1}{5 - 2 x}

Replace

x

with

y

x = \frac{3 y + 1}{5 - 2 y}

Solve for

y, x = \frac{3 y + 1}{5 - 2 y}

- \frac{1 - 5 x}{3 + 2 x}

What is the inverse of f(x)=(3x+1)/(5-2x) ?
The inverse of f(x)=(3x+1)/(5-2x) is -(1-5x)/(3+2x)