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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (- 8) = \frac{x + 5}{x + 8}

y = x^{3} + 4

y = x^{3} + 7

f (x) = \frac{8 x + 3}{x - 4}

y = x^{3} - 8

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