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

The inverse of f(x)=((x-2))/((4x+6)) is (-2-6x)/(4x-1)

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

inverse

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

\frac{- 2 - 6 x}{4 x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 2 - 6 x}{4 x - 1}

\frac{s}{s ^{2} + 4 s + 5}

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

f (x) = sec (\frac{1}{x})

x^{5} + 3 x^{4} - 25 x^{3} - 79 x^{2} + 100

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

What is the inverse of f(x)=((x-2))/((4x+6)) ?
The inverse of f(x)=((x-2))/((4x+6)) is (-2-6x)/(4x-1)