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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

2 - x

f (x) = \frac{5 x + 4}{3}

f (x) = (4 x)^{- \frac{2}{5}}

f (x) = - 6 x + 30

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