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

The inverse of f(x)=((x+8))/(x-4) is (8+4x)/(x-1)

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

inverse

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

\frac{8 + 4 x}{x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{8 + 4 x}{x - 1}

- 2 x^{2} + 11

12 x + 16 y = 96

(5.5) (- 2.3)

\frac{x - 1}{x + 2}

\frac{2}{x + 1}

What is the inverse of f(x)=((x+8))/(x-4) ?
The inverse of f(x)=((x+8))/(x-4) is (8+4x)/(x-1)