What is the inverse of f(x)=(8x-4)/(2x+6) ?

The inverse of f(x)=(8x-4)/(2x+6) is (-2-3x)/(x-4)

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inverse of f(x)=(8x-4)/(2x+6)

inverse

f (x) = \frac{8 x - 4}{2 x + 6}

\frac{- 2 - 3 x}{x - 4}

Solution steps

y = \frac{8 x - 4}{2 x + 6}

Replace

x

with

y

x = \frac{8 y - 4}{2 y + 6}

Solve for

y, x = \frac{8 y - 4}{2 y + 6}

\frac{- 2 - 3 x}{x - 4}

f (x) = - 2 x^{2} - 12 x - 10

\frac{2}{x - 4}

f (x) = - 4 x + 2

f (x) = x^{4} + 4 x^{3} - 8 x^{2} + 1

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

What is the inverse of f(x)=(8x-4)/(2x+6) ?
The inverse of f(x)=(8x-4)/(2x+6) is (-2-3x)/(x-4)