Math Problem Statement
Solution
Let's analyze the given functions and the problem.
Given Functions:
Task:
Evaluate the function for .
Calculation:
-
Find :
-
Find :
-
Find :
Therefore, .
The error in the given image is because the calculated value of is shown as , which is incorrect. The correct answer should be 6.
Would you like more details or have any questions?
Related Questions:
- What is the value of for ?
- How would you find for any ?
- What is the domain of the function ?
- How does the graph of look like?
- Can be evaluated for ?
Tip: Always double-check calculations and the interpretation of functions, especially when absolute values and subtractions are involved.
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Math Problem Analysis
Mathematical Concepts
Algebra
Absolute Value Functions
Linear Functions
Formulas
f(x) = -3x
g(x) = |x - 4|
(f - g)(x) = f(x) - g(x)
Theorems
Properties of Absolute Values
Operations with Functions
Suitable Grade Level
Grade 9-11
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