What is the inverse of f(x)=(2x-1)/(4x+6) ?

The inverse of f(x)=(2x-1)/(4x+6) is (-1-6x)/(2(-1+2x))

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inverse of f(x)=(2x-1)/(4x+6)

inverse

f (x) = \frac{2 x - 1}{4 x + 6}

\frac{- 1 - 6 x}{2 ( - 1 + 2 x )}

Solution steps

y = \frac{2 x - 1}{4 x + 6}

Replace

x

with

y

x = \frac{2 y - 1}{4 y + 6}

Solve for

y, x = \frac{2 y - 1}{4 y + 6}

\frac{- 1 - 6 x}{2 ( - 1 + 2 x )}

f (x) = 36 - t^{2}

y = x, (- 1, 3)

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

f (x) = 100000 - 2500 x

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

What is the inverse of f(x)=(2x-1)/(4x+6) ?
The inverse of f(x)=(2x-1)/(4x+6) is (-1-6x)/(2(-1+2x))