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

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

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

inverse

f (x) = \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 )}

3 sin (\frac{1}{4} x - \frac{5}{3} π) - 3

f (x) = 2 x - 5 ln (4 x + 2)

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

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