To find \((g - f)(4)\), we first need to determine \(g(4)\) and \(f(4)\), and then subtract the two.

### Step 1: Find \(f(4)\)
\[
f(x) = 2x + 7
\]
Substitute \(x = 4\):
\[
f(4) = 2(4) + 7 = 8 + 7 = 15
\]

### Step 2: Find \(g(4)\)
\[
g(x) = -3x - 1
\]
Substitute \(x = 4\):
\[
g(4) = -3(4) - 1 = -12 - 1 = -13
\]

### Step 3: Find \((g - f)(4)\)
Now subtract \(f(4)\) from \(g(4)\):
\[
(g - f)(4) = g(4) - f(4) = -13 - 15 = -28
\]

Thus, \((g - f)(4) = -28\).

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. Find \((f + g)(3)\).
2. What is \(f(2)\) and \(g(2)\)?
3. Solve for \(x\) when \(f(x) = g(x)\).
4. Find \((f \cdot g)(2)\).
5. Calculate \((f/g)(5)\), provided \(g(x) \neq 0\).

**Tip:** Always perform each function's individual calculations before combining them for operations like addition or subtraction.

Learn how to solve the function operation (g - f)(4) for the functions f(x)=2x+7 and g(x)=-3x-1. This problem demonstrates key algebraic concepts related to function evaluation and subtraction, suitable for Grades 7-10 students.

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