The visible portion of the uploaded image contains the following functions and task:

Functions:

• $f(x) = x^2 + x - 6$
• $g(x) = 2x - 1$

Task:

• Evaluate $g(f(5))$ (Find the value of $g(f(5))$).

Let's solve it step by step.

Step 1: Find $f(5)$

Substitute $x = 5$ into $f(x) = x^2 + x - 6$:

$f(5) = 5^2 + 5 - 6 = 25 + 5 - 6 = 24$

So, $f(5) = 24$.

Step 2: Find $g(f(5))$, which is $g(24)$

Substitute $x = 24$ into $g(x) = 2x - 1$:

$g(24) = 2(24) - 1 = 48 - 1 = 47$

So, $g(f(5)) = 47$.

Final Answer:

$g(f(5)) = 47$

Would you like a detailed explanation of the steps or have any other questions?

Related Questions:

1. How do you evaluate $g(f(-2))$ using these functions?
2. What happens if you reverse the operations, finding $f(g(5))$?
3. Can you factor $f(x) = x^2 + x - 6$, and what are its roots?
4. What is the domain and range of $g(x) = 2x - 1$?
5. What is the composite function $g(f(x))$, and how is it simplified?

Tip:

Always substitute carefully, step by step, to avoid errors when working with composite functions!