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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

y = 9 x + 6

f (x) = \frac{1}{x + 5}

(4.1) (- 2.3)

\frac{x}{25 x ^{2} + 1}

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

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