What is the inverse of f(x)=((x-2))/(x+5) ?

The inverse of f(x)=((x-2))/(x+5) is (-2-5x)/(x-1)

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inverse of f(x)=((x-2))/(x+5)

inverse

f (x) = \frac{( x - 2 )}{x + 5}

\frac{- 2 - 5 x}{x - 1}

Solution steps

y = \frac{x - 2}{x + 5}

Replace

x

with

y

x = \frac{y - 2}{y + 5}

Solve for

y, x = \frac{y - 2}{y + 5}

\frac{- 2 - 5 x}{x - 1}

f (x) = lo g_{2} (x + 1) + 3

g (x) = \frac{x + 5}{3}

f (x) = - x - 2

- \frac{6}{7} x + \frac{32}{7}

lo g_{10} (0.001)

What is the inverse of f(x)=((x-2))/(x+5) ?
The inverse of f(x)=((x-2))/(x+5) is (-2-5x)/(x-1)