To find \((f - g)(4)\), we need to calculate \(f(4)\) and \(g(4)\) separately and then subtract \(g(4)\) from \(f(4)\).

1. **Calculate \(f(4)\):**
   \[
   f(x) = 4x + 2
   \]
   Substituting \(x = 4\):
   \[
   f(4) = 4(4) + 2 = 16 + 2 = 18
   \]

2. **Calculate \(g(4)\):**
   \[
   g(x) = 3x - 1
   \]
   Substituting \(x = 4\):
   \[
   g(4) = 3(4) - 1 = 12 - 1 = 11
   \]

3. **Calculate \((f - g)(4)\):**
   \[
   (f - g)(4) = f(4) - g(4) = 18 - 11 = 7
   \]

So, \((f - g)(4) = 7\).

Would you like further details or have any questions?

**Related Questions:**

1. How do you find the sum of \(f(x)\) and \(g(x)\) at a given \(x\) value?
2. What is the result of \((f \cdot g)(4)\)?
3. How would you solve \((f/g)(4)\)?
4. How do you find the derivative of \(f(x)\) and \(g(x)\)?
5. What is the solution to \(f(x) = g(x)\)?

**Tip:** Always check your function calculations step-by-step to ensure accuracy, especially when combining functions!

F(x) = 4x + 2, g(x) = 3x - 1. Find (f - g)(4).

Learn how to find (f - g)(4) by calculating f(4) and g(4) using the functions f(x) = 4x + 2 and g(x) = 3x - 1. This step-by-step solution is ideal for students in Grades 8-10 and covers essential algebraic concepts and function operations.

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