To solve the expression $(g + h)(2)$, we first need to determine what $g(x) + h(x)$ is, and then substitute $x = 2$ into the resulting expression.

Step 1: Find $g(x) + h(x)$

Given: $g(x) = x + 5$ $h(x) = 2x - 3$

Now, add $g(x)$ and $h(x)$: $g(x) + h(x) = (x + 5) + (2x - 3)$

Combine like terms: $g(x) + h(x) = x + 2x + 5 - 3 = 3x + 2$

Step 2: Substitute $x = 2$

Now that we have $g(x) + h(x) = 3x + 2$, substitute $x = 2$ into this expression: $(g + h)(2) = 3(2) + 2 = 6 + 2 = 8$

So, the correct answer is:

B. 8

Would you like further details or have any questions?

Here are five related questions:

1. What is $g(x) + h(x)$ when $x = 0$?
2. How would the result change if $h(x)$ were defined as $h(x) = 2x + 3$ instead?
3. What is the value of $g(x) \cdot h(x)$ at $x = 2$?
4. How do you find the inverse of the function $g(x)$?
5. What is the value of $h(x)$ when $x = -1$?

Tip: When combining functions, always remember to first add or subtract the functions before applying any specific values for $x$.