Let \( h(x)=x+9 \) and \( g(x)=\sqrt{x-6} \). Find \( (h-g)(-1) \). Select the correct choice below and fill in any answer boxes within your choice. A. \( (h-g)(-1)=\square \) (Simplify your answer. Type an integer or a fraction.) B. The function value does not exist.

To find \( (h-g)(-1) \), we first need to compute \( h(-1) \) and \( g(-1) \). \( h(x) = x + 9 \) So, \( h(-1) = -1 + 9 = 8 \). Now for \( g(x) = \sqrt{x - 6} \): Since \( -1 - 6 = -7 \), this means \( g(-1) = \sqrt{-7} \), which is not a real number. Now, we can compute \( (h-g)(-1) \): \[ (h-g)(-1) = h(-1) - g(-1) = 8 - \text{(not defined)} \] Thus, the correct choice is: B. The function value does not exist.