To solve \((2f - g)(x)\), we need to calculate the expression \(2f(x) - g(x)\) for the given functions \(f(x)\) and \(g(x)\).

### Given Functions:
- \( f(x) = x^2 - 5x \)
- \( g(x) = 4x + 1 \)

### Step 1: Find \( 2f(x) \)
Multiply \( f(x) \) by 2:
\[
2f(x) = 2(x^2 - 5x) = 2x^2 - 10x
\]

### Step 2: Find \( g(x) \)
The function \( g(x) \) is already given:
\[
g(x) = 4x + 1
\]

### Step 3: Compute \( 2f(x) - g(x) \)
Now, subtract \( g(x) \) from \( 2f(x) \):
\[
(2f - g)(x) = 2x^2 - 10x

f(x) = x² - 5x, g(x) = 4x + 1, (2f - g)(x)

Learn how to solve the function operation (2f - g)(x) where f(x) = x² - 5x and g(x) = 4x + 1. This step-by-step guide explores polynomial functions, function operations, and basic algebraic manipulation. Ideal for students in Grades 8-10.

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