Question

Find the inverse function of g(x) = 1 /x − 2

Answer 1

we have teh function

`g(x)=(1)/(x)-2`

step 1

Let

y=g(x)

`y=(1)/(x)-2`

step 2

Exchange the variables

x for y and y for x

`x=(1)/(y)-2`

step 3

Isolate the variable y

`\begin{gathered} (1)/(y)=x+2 \\ y=(1)/((x+2)) \end{gathered}`

step 4

`g^((-1))(x)=(1)/(x+2)`