What is the inverse of f(x)=(6x-1)/(2x+7) ?

The inverse of f(x)=(6x-1)/(2x+7) is (-1-7x)/(2(-3+x))

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inverse of f(x)=(6x-1)/(2x+7)

inverse

f (x) = \frac{6 x - 1}{2 x + 7}

\frac{- 1 - 7 x}{2 ( - 3 + x )}

Solution steps

y = \frac{6 x - 1}{2 x + 7}

Replace

x

with

y

x = \frac{6 y - 1}{2 y + 7}

Solve for

y, x = \frac{6 y - 1}{2 y + 7}

\frac{- 1 - 7 x}{2 ( - 3 + x )}

\frac{5 x - 2}{5 x}

f (x) = 9 cos (\frac{1}{3} π x + π) - 2

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

ln (x + 6)

(0, 0), (3, 5)

What is the inverse of f(x)=(6x-1)/(2x+7) ?
The inverse of f(x)=(6x-1)/(2x+7) is (-1-7x)/(2(-3+x))