#### Answer

$h^{-1}(x) = -\frac{x+10}{6}$

#### Work Step by Step

$h(x) = -6x-10$
Let $h(x) = y$:
$y = -6x -10$
Switch the variables $x$ and $y$ to find the inverse and solve for $y$:
$x = -6y -10$
$x + 10 = -6y$
$y = -\frac{x+10}{6}$
$h^{-1}(x) = -\frac{x+10}{6}$