we have that
f(9) -----> is the value of the function f(x) for x=9
so
Looking at the given table
For x=9
f(9)=1
If f(x)=9
Looking at the given table
x=8
Find out f^-1(3)
Looking at the given table
f(x)=3 -----> For x=7
therefore
f^-1(3)=7
If f^-1(x)=7
Looking at the given table
For x=7 -----> f(x)=3
therefore
For f^-1(x)=7 -------> the value of x=3