345,238 views
4 votes
4 votes
Help with this question, it is one question with 3 parts.

Help with this question, it is one question with 3 parts.-example-1
User Abdou
by
2.7k points

1 Answer

13 votes
13 votes

The given function is ,


f(x)=(x+12)/(x-6)

The inverse of the function is ,


\begin{gathered} y=(x+12)/(x-6) \\ x=(y+12)/(y-6) \\ y=(6(x+2))/(x-1) \\ f^(-1)(x)=(6x+12)/(x-1) \end{gathered}

for x ,


x<1\text{ and x>1 .}

if x= 1 the function will be undefined.

thus,


x\\e1

User Jagnesh Chawla
by
2.7k points