338,451 views
43 votes
43 votes
Can you help me to do this please?Finding the inverse of each function

Can you help me to do this please?Finding the inverse of each function-example-1
User Ajaxharg
by
2.5k points

1 Answer

15 votes
15 votes

Let


y=-(3)/(x+1)+2

Find the equation in terms of y in the form x = f(y).


\begin{gathered} y-2=(-3)/(x+1) \\ x+1=(-3)/(y-2) \\ x=(-3)/(y-2)-1 \end{gathered}

Replace y by x in the right hand side, which will be the required inverse of the function.


g^(-1)(x)=-(3)/(x-2)-1

User Hafez
by
2.5k points