a) 1
b) 2
c) 2
Step-by-step explanation:
a)
means find the output for
when
.
![\frac{1}{2}(2)](/tpl/images/0347/0227/eb3f4.png)
![\frac{2}{2}](/tpl/images/0347/0227/b5497.png)
![1](/tpl/images/0347/0227/8aa3f.png)
b)
means find the output for
when ![x=1](/tpl/images/0347/0227/dd2c7.png)
![2(1)](/tpl/images/0347/0227/4574b.png)
![2](/tpl/images/0347/0227/05229.png)
c) If
and
are truly inverses then
and
as long as
satisfies the domains.
So we should be able to conclude that
with no work.
However, I will also show work.
![f^{-1}(f(2))](/tpl/images/0347/0227/8c509.png)
  since  Â
from part a.
      since  Â
from part b.