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

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

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

inverse

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

\frac{- 8 - 6 x}{x - 4}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 8 - 6 x}{x - 4}

\frac{d y}{y}

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

y = 4 x + 5

f (x) = 5

9 x + \frac{7}{x}

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