What is the inverse of ((4x-1))/(2x+3) ?

The inverse of ((4x-1))/(2x+3) is (-1-3x)/(2(-2+x))

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inverse of ((4x-1))/(2x+3)

inverse

\frac{( 4 x - 1 )}{2 x + 3}

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

Solution steps

y = \frac{4 x - 1}{2 x + 3}

Replace

x

with

y

x = \frac{4 y - 1}{2 y + 3}

Solve for

y, x = \frac{4 y - 1}{2 y + 3}

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

y = 2 x^{2} - 1

f (x) = \frac{3 x - 10}{2 x}

\frac{x + 4}{x + 7}

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

What is the inverse of ((4x-1))/(2x+3) ?
The inverse of ((4x-1))/(2x+3) is (-1-3x)/(2(-2+x))