UNL student Schuyler is studying abroad in Copenhagen, Denmark.

A) He knows that the temperature in degrees Fahrenheit, $F$, is given by the equation where $C$ is the temperature in degrees Celsius.

I) Find a formula for $g^{-1}(F)$. What are the units of the inputs and outputs?
$g^{-1}(F)=$
Input units:
Output units:

II) Evaluate and interpret $g(33)$ and $g^{-1}(33)$.
$g(33)=$

$g^{-1}(33)=$

B) Schuyler also always needs to keep the currency exchange rate in mind: $D=f(K)=0.15K$, where $D$ is the value in US dollars, and $K$ is the value in Danish krones.

I) Find a formula for $f^{-1}(D)$, and interpret its meaning in the context of the problem. What are the units of the inputs and outputs?
$f^{-1}(D)=$
Input units:
Output units:

II) Evaluate and interpret $f(60)$ and $f^{-1}(100)$.
$f(60)=$

$f^{-1}(100)=$

C) Suppose the monthly cost in Danish krones of heating Schuyler's apartment to $x$ degrees Celsius is given by $H(x)=32x$. Evaluate and interpret $f(H(g^{-1}(70)))$.
$f(H(g^{-1}(70)))=$