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The problem is asking for the value of \( (g \circ f)(2) \), where the functions \( f(x) \) and \( g(x) \) are defined as follows:

- \( f(x) = 2x^2 + 5x - 7 \)
- \( g(x) = 3x - 12 \)

To solve for \( (g \circ f)(2) \), which is the composition of functions, we proceed with the following steps:

### Step 1: Calculate \( f(2) \)
Substitute \( x = 2 \) into the function \( f(x) \):
\[
f(2) = 2(2)^2 + 5(2) - 7
\]
\[
f(2) = 2(4) + 10 - 7 = 8 + 10 - 7 = 11
\]

### Step 2: Calculate \( g(f(2)) = g(11) \)
Now, substitute \( f(2) = 11 \) into the function \( g(x) \):
\[
g(11) = 3(11) - 12
\]
\[
g(11) = 33 - 12 = 21
\]

Thus, \( (g \circ f)(2) = 21 \).

The correct answer is **B. 21**.

Would you like further details on any steps? Here are five related questions for practice:

1. What is \( (f \circ g)(2) \)?
2. How do you find the domain of a composite function?
3. If \( g(x) = x^3 - 1 \), what is \( (g \circ f)(2) \) for the same \( f(x) \)?
4. How would the answer change if \( f(x) \) were a linear function?
5. How can you verify the result of a composite function graphically?

**Tip:** When dealing with composite functions, always evaluate the inner function first and then apply the result to the outer function.

Jika f(x) = 2x^2 + 5x - 7 dan g(x) = 3x - 12, maka nilai (g o f)(2) adalah?

Learn how to solve the composite function (g o f)(2) where f(x) = 2x^2 + 5x - 7 and g(x) = 3x - 12. This problem covers key algebraic concepts such as quadratic equations and function composition. Suitable for students in Grades 10-12.

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