Math Problem Statement
f(x)=x²-5x g(x)=4x+1 (2f-g)(x)
Solution
To solve , we need to calculate the expression for the given functions and .
Given Functions:
Step 1: Find
Multiply by 2:
Step 2: Find
The function is already given:
Step 3: Compute
Now, subtract from : [ (2f - g)(x) = 2x^2 - 10x
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Functions
Function Operations
Formulas
f(x) = x² - 5x
g(x) = 4x + 1
(2f - g)(x) = 2f(x) - g(x)
Theorems
Basic Algebraic Manipulation
Suitable Grade Level
Grades 8-10
Related Recommendation
Function Operation (g - f)(x) with f(x) = -8x + 2 and g(x) = 4x
Function Operations: Solving (f + g)(x) for f(x) = 5x and g(x) = -x^2 + 4
Finding (f - g)(x) for f(x) = x^2 - 4 and g(x) = 3x + 1
How to Add Functions: (f+g)(x) for Given Functions
Function Operations: Adding, Multiplying, and Subtracting Functions