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

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

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

inverse

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

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

Solution steps

y = \frac{x - 1}{x + 5}

Replace

x

with

y

x = \frac{y - 1}{y + 5}

Solve for

y, x = \frac{y - 1}{y + 5}

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

cos (\frac{32}{51})

f (x) = - sin (x)

\frac{5 x + 8}{1 - 6 x}

f (x) = \frac{( 5 x - 8 )}{3 x + 1}

5^{x} - 8

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