Question

F^-1 (f^-1 (13))=
f^-1 (8)​

Answer 1

According to the table,
`f(x) = 13` when
`x = 5`. This means

`f(5)=13\implies f^(-1)(13) = 5`

From the table we also see that
`f(x)=5` when
`x=-9`, so

`f(-9)=5\implies f^(-1)(5)=-9`

So we have

`f^(-1)\left(f^(-1)(13)\right) = f^(-1)(5)=-9`

On the other hand, the table shows
`f(x)=8` when
`x=-13`, or

`f(-13)=8\implies f^(-1)(8)=-13`

so the given equation is not true.