What is the inverse of f(x)=(6x-1)/(2x+3) ?

The inverse of f(x)=(6x-1)/(2x+3) is (-1-3x)/(2(-3+x))

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inverse of f(x)=(6x-1)/(2x+3)

inverse

f (x) = \frac{6 x - 1}{2 x + 3}

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

Solution steps

y = \frac{6 x - 1}{2 x + 3}

Replace

x

with

y

x = \frac{6 y - 1}{2 y + 3}

Solve for

y, x = \frac{6 y - 1}{2 y + 3}

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

f (x) = 2 - x - 3

f (x) = - x + 9

f (x) = (x^{2} - 25)^{\frac{1}{5}}

f (x) = 9 (x - 2)^{\frac{2}{3}}

f (x) = x^{2}

What is the inverse of f(x)=(6x-1)/(2x+3) ?
The inverse of f(x)=(6x-1)/(2x+3) is (-1-3x)/(2(-3+x))