Answer
(a) $f(x)=0.9766x$
(b) $f^{-1}(x)=\frac{x}{0.9766}$
It simply represents worth of Canadian dollars for given ($x$) U.S. dollars.
(c) $f^{-1}(12250)\approx \$12,543.52$
Work Step by Step
We have $f(x)$ which stands for U.S. dollars for given $x$ Canadian dollars.
(a) As for the values given, we can write the function:
$f(x)=0.9766x$
(b) We can simply follow the next steps to determine $f^{-1}$:
At first write the original function in terms of $y$ and $x$:
$y=0.9766x$
Then replace $y$ by $x$ and vice versa:
$x=0.9766y$
And finally solve the equation for $y$:
$y=\frac{x}{0.9766}$
$f^{-1}(x)=\frac{x}{0.9766}$
It simply represents worth of Canadian dollars for given ($x$) U.S. dollars.
(c) To find it we can use the inverse function calculated above:
$f^{-1}(12250)=\frac{12250}{0.9766}\approx \$12,543.52$
