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

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

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

inverse

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

\frac{4 - 6 x}{x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{4 - 6 x}{x - 1}

\frac{x + 9}{2}

lo g_{4} (x) + 3

f (x) = \frac{- ( x + 17 )}{4}

f (x) = \frac{4 ( x - 11 )}{3}

f (x) = \frac{2 x}{x ^{2} + 6}

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