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}

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

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

\frac{5 x - 15}{2 x - 9}

f (x) = - 4 x^{3} - 11

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

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)