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The problem you provided in the image asks us to find the value of \( g(-3) \), given the following functions and composition:

1. \( f(x) = 2x - 1 \)
2. \( (f \circ g)(x) = -14x + 21 \)

To solve for \( g(-3) \), follow these steps:

### Step 1: Understand the composition of functions.
The notation \( (f \circ g)(x) \) means \( f(g(x)) \), which implies that the function \( g(x) \) is substituted into the function \( f(x) \).

We are given:
\[
f(g(x)) = -14x + 21
\]
This tells us that applying \( f(x) = 2x - 1 \) to \( g(x) \) will result in \( -14x + 21 \).

### Step 2: Set up the equation using the definition of \( f(x) \).
Since \( f(x) = 2x - 1 \), substitute \( g(x) \) into \( f(x) \):
\[
f(g(x)) = 2g(x) - 1
\]
Equate this to the given expression for \( (f \circ g)(x) \):
\[
2g(x) - 1 = -14x + 21
\]

### Step 3: Solve for \( g(x) \).
Now, solve the equation \( 2g(x) - 1 = -14x + 21 \) for \( g(x) \):

1. Add 1 to both sides:
\[
2g(x) = -14x + 22
\]

2. Divide by 2:
\[
g(x) = -7x + 11
\]

### Step 4: Find \( g(-3) \).
Substitute \( x = -3 \) into the expression for \( g(x) \):
\[
g(-3) = -7(-3) + 11 = 21 + 11 = 32
\]

Thus, the value of \( g(-3) \) is \( \boxed{32} \).

Would you like more details or further clarification? 

Here are some related questions you can explore:
1. How do you find the composition of two functions?
2. What does the notation \( f \circ g \) mean in terms of function operations?
3. How do you derive a function when given its composition?
4. What is the significance of function compositions in calculus?
5. How can function composition be applied in real-world scenarios?

**Tip:** When solving problems with function compositions, always carefully substitute one function into another to avoid errors!

Jika f(x) = 2x - 1 dan (f ∘ g)(x) = -14x + 21, nilai dari g(-3) adalah ...

Learn how to find the value of g(-3) by solving the function composition problem where f(x) = 2x - 1 and (f ∘ g)(x) = -14x + 21. This detailed step-by-step solution covers the concepts of function composition and linear functions.

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