F^-1 (f^-1 (13))= f^-1 (8)

Question

asked Jul 14, 2021 106k views

1 Answer

Puerto · Answer 1 · 2021-07-20T14:11:25+0000

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.