Let's work through the evaluation of the functions based on the provided image.

1. The functions given are:

   • $f(x) = 6x + 3$
   • $g(x) = x^2 - 2x + 5$
   • $j(x) = \frac{1}{x - 2}$

2. The questions are:

12. $f(-2) = ?$

• Substitute $x = -2$ into $f(x) = 6x + 3$: $f(-2) = 6(-2) + 3 = -12 + 3 = -9$ So, $f(-2) = -9$.

13. $g(-1) = ?$

• Substitute $x = -1$ into $g(x) = x^2 - 2x + 5$: $g(-1) = (-1)^2 - 2(-1) + 5 = 1 + 2 + 5 = 8$ So, $g(-1) = 8$.

14. $j(1) = ?$

• Substitute $x = 1$ into $j(x) = \frac{1}{x - 2}$: $j(1) = \frac{1}{1 - 2} = \frac{1}{-1} = -1$ So, $j(1) = -1$.

15. $g(a) = ?$

• This is just a function evaluation with $g(x) = x^2 - 2x + 5$. Replace $x$ with $a$: $g(a) = a^2 - 2a + 5$ So, $g(a) = a^2 - 2a + 5$.

16. $j(x + h) = ?$

• Substitute $x = x + h$ into $j(x) = \frac{1}{x - 2}$: $j(x + h) = \frac{1}{(x + h) - 2} = \frac{1}{x + h - 2}$ So, $j(x + h) = \frac{1}{x + h - 2}$.

Would you like any details on the steps? Here are some related questions:

1. How can we graph the function $f(x) = 6x + 3$?
2. What does the function $g(x) = x^2 - 2x + 5$ represent graphically?
3. What happens to the function $j(x)$ as $x$ approaches 2?
4. How would you evaluate $f(x + h)$ for the function $f(x) = 6x + 3$?
5. What is the vertex of the parabola defined by $g(x) = x^2 - 2x + 5$?

Tip: Always substitute carefully to avoid errors when evaluating functions at given points.