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) = - 4 x^{2} + 2

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

arctan (- 3)

f (x) = \frac{( 9 x + 7 )}{2}

x^{2} - 2 x - 1

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)