Suppose $y$ varies inversely as $x + 6$ and $y = 1$ when $x = 1$.

1. Express $y$ as a function of $x$, $y = f\left(x\right)$.

   Hint (a):

   1. Write the inverse proportion. Don't forget '$k$'.
   2. Substitute a point and solve for '$k$'.
   3. Write the function.

2. Find $f\left(−3\right)$, $f\left(0\right)$, $f( \frac { 1 } { 3 } )$, and $f( \frac { 1 } { a } )$.

   Hint (b):

   Use the function found in part (a) above.