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 )}

f (x) = \frac{5 x}{2 x - 1}

1.25 x + 61

f (x) = - 1 x + 5

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

- \frac{1}{2} x + 3, x \geq - 3

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