The image shows a question asking to evaluate the function $g(x) = 7x^2 - 4x$ for $g(3)$.

Let's calculate it:

Step 1: Substitute $x = 3$ into the function.

$g(3) = 7(3)^2 - 4(3)$

Step 2: Simplify the terms.

$g(3) = 7(9) - 12$ $g(3) = 63 - 12$

Step 3: Final result.

$g(3) = 51$

Thus, $g(3) = 51$.

Would you like more details or have any questions?

Here are some related questions:

1. What is the general process for evaluating functions at a specific value?
2. How do quadratic terms affect the shape of the graph of a function?
3. How would the result change if you evaluated $g(x)$ at a negative value like $g(-2)$?
4. What would happen to the function if the coefficient of $x^2$ changed?
5. Can you solve for $x$ when $g(x) = 0$ in this case?

Tip: Always simplify the powers first when substituting values into a function.