Math Problem Statement
Given f, of, x, equals, 3, x, minus, 3f(x)=3x−3, find f, of, minus, 4f(−4)
Solution
We are given the function equation . To find , we simply substitute into the function equation:
Let's calculate it step by step:
So, .
Would you like more details or have any other questions?
Here are 8 related questions to expand your understanding:
- What is for the function ?
- How would you find the value of for this function?
- What is the general formula to determine the slope of a linear function?
- How do you determine the y-intercept of a linear function?
- Can you rewrite the function in the form and identify and ?
- What is the inverse function of ?
- How do you graph the function ?
- What are the key properties of linear functions like ?
Tip: When solving a function, always substitute the given value carefully and follow the order of operations to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Function Evaluation
Substitution
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9