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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = - \frac{9}{2} x + 6

f (x) = 3 x^{2} + 6 x + 15

2 e^{3 x - 1} + 5

f (x) = 13 - 5 x^{3}

f (x) = x^{2} - 3 x + 4

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