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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.

Evaluate the function g(x) = 7x^2 - 4x for g(3).

Learn how to evaluate the function g(x) = 7x^2 - 4x for g(3). This problem involves substituting x into the function and simplifying the quadratic expression. The final result is g(3) = 51. Suitable for students in Grades 8-10.

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