The choices were typed wrong, but we can find the inverse of each option.
For function
the inverse is the same function
, because an inverse of a function is where their composition gives the independent variable as unique result.
If we do that with each function, we have:
; where
and
, we have
![f((g(x))=x\\x=x](/tpl/images/0346/5808/83c06.png)
So they are inverse.
For
its inverse would be
, because
![f(g(x))=2(\frac{1}{2}x)=x](/tpl/images/0346/5808/49816.png)
For
, its inverse is
, because
![f(g(x))=4(\frac{1}{4}x)=x](/tpl/images/0346/5808/b1883.png)
For
, its inverse is
, because
![f(g(x))=-8(-\frac{1}{8}x)=x](/tpl/images/0346/5808/b0b7a.png)
There you have all inverses. Basically, if their composition results in
, that means they are inverse.