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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = x^{2} - 2 x - 9

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

f (x) = (x + 3)^{2}

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

f (x) = 3 x^{4} - 8 x^{3} + 8

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