https://file.aiquickdraw.com/mathbot/file/1728000881138vhzt7iof.jpg

To solve for \( f(g(-15)) \), we’ll need to evaluate \( g(-15) \) first and then plug that result into \( f(x) \).

### Given functions:
1. \( f(x) = x + 4 \)
2. \( g(x) = 2x \)

### Steps:
1. **Find \( g(-15) \):**
   \[
   g(-15) = 2 \times (-15) = -30
   \]

2. **Substitute \( g(-15) = -30 \) into \( f(x) \):**
   \[
   f(g(-15)) = f(-30)
   \]
   Using \( f(x) = x + 4 \):
   \[
   f(-30) = -30 + 4 = -26
   \]

### Final Answer:
\[
f(g(-15)) = -26
\]

Would you like a more detailed explanation or have any questions?

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Here are 5 related questions that might expand your understanding:
1. How do you find the composition of functions \( f(g(x)) \) for any value of \( x \)?
2. What is the domain of the composite function \( f(g(x)) \)?
3. How would the result change if \( g(x) = x^2 \) instead?
4. Can the composition \( g(f(x)) \) give a different result than \( f(g(x)) \)?
5. How can we verify the result of a composite function graphically?

**Tip:** When working with compositions, always evaluate the inner function first before moving to the outer function.

Find f(g(-15)) where f(x) = x + 4 and g(x) = 2x.

Learn how to solve the composite function f(g(-15)) where f(x) = x + 4 and g(x) = 2x. This step-by-step guide explains function composition, ideal for students in Grades 8-10.

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