To solve this problem, we'll evaluate both functions $f(x)$ and $g(x)$ for the given values $f(7)$ and $g(-3)$.

Step-by-Step Evaluation:

1. Evaluate $f(x) = -6 + 14x$ for $x = 7$:

$f(7) = -6 + 14 \cdot 7$

Calculate:

$f(7) = -6 + 98 = 92$

So, $f(7) = 92$.

2. Evaluate $g(x) = (2x + 9)^2$ for $x = -3$:

$g(-3) = (2 \cdot (-3) + 9)^2$

Simplify inside the parentheses:

$g(-3) = ( -6 + 9 )^2 = (3)^2 = 9$

So, $g(-3) = 9$.

Conclusion:

The correct answers are:

• A. 9 (for $g(-3)$)
• E. 92 (for $f(7)$)

Would you like more details or have any questions about this solution?

Here are some additional questions for practice:

1. What is the value of $f(x) = 3x - 5$ for $x = 10$?
2. Evaluate $g(x) = x^2 + 4x + 1$ for $x = -2$.
3. Determine $h(x) = \sqrt{x + 7}$ for $x = 2$.
4. If $k(x) = 5x - 8$, find $k(0)$.
5. Solve for $f(x) = 2x^2 + 3x - 4$ when $x = -1$.

Tip: Substitute the given values into the functions and simplify step by step to evaluate correctly.