https://file.aiquickdraw.com/mathbot/file/1727075942759hxx7c6qo.jpg

The question provided in the image states that the function \( f(x) = 2x - 7 \). You are asked to find the value of \( p \) such that \( f(p) = 9 \).

We can solve this step-by-step:

### Step 1: Use the function definition
The function is given as:
\[
f(x) = 2x - 7
\]
You are told that \( f(p) = 9 \). This means:
\[
2p - 7 = 9
\]

### Step 2: Solve for \( p \)
Now, solve the equation:
\[
2p - 7 = 9
\]
Add 7 to both sides:
\[
2p = 9 + 7
\]
\[
2p = 16
\]
Now, divide by 2:
\[
p = \frac{16}{2} = 8
\]

### Final Answer:
The value of \( p \) is \( 8 \). Therefore, the correct choice is \( d. 8 \).

Would you like further explanation on any part of the process, or any additional help?

Here are 5 related questions to further explore:

1. What is the general process for solving linear equations like this one?
2. How can we verify that \( p = 8 \) is correct by plugging it back into the original function?
3. What happens if we change the function to \( f(x) = 3x - 7 \)? What would the new \( p \) be?
4. Can you solve the equation \( 2p - 7 = 15 \) and find \( p \)?
5. How would this problem change if we had a quadratic function instead of a linear one?

**Tip**: Always check your solution by substituting the found value back into the original equation to ensure accuracy.

Diberikan fungsi f(x) = 2x - 7. Jika f(p) = 9 maka nilai p = ...

Solve the linear function f(x) = 2x - 7 to find the value of p when f(p) = 9. Learn the steps to solve for p using basic algebra and equation solving. Suitable for students in Grades 7-9.

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