What is the inverse of f(x)=((x+4))/(x-5) ?

The inverse of f(x)=((x+4))/(x-5) is (4+5x)/(x-1)

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inverse of f(x)=((x+4))/(x-5)

inverse

f (x) = \frac{( x + 4 )}{x - 5}

\frac{4 + 5 x}{x - 1}

Solution steps

y = \frac{x + 4}{x - 5}

Replace

x

with

y

x = \frac{y + 4}{y - 5}

Solve for

y, x = \frac{y + 4}{y - 5}

\frac{4 + 5 x}{x - 1}

g (x) = 4 x^{2} + 8

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

f (x) = - x^{2} + 10 x - 15

f (x) = x + 4 + 1

\frac{3 x}{2 x + 1}

What is the inverse of f(x)=((x+4))/(x-5) ?
The inverse of f(x)=((x+4))/(x-5) is (4+5x)/(x-1)