Math Problem Statement
Evaluating f(x) = 8 - 5x for the inputs f(4c), f(2 - k), and f(4p + 3)
Solution
To solve these problems, we need to evaluate the function for each of the given inputs.
1.
Substitute into the function: So, .
2.
Substitute into the function: So, .
3.
Substitute into the function: So, .
Would you like more details on any step?
Here are some related questions to deepen your understanding:
- How do you evaluate a function for a variable expression?
- What happens when the input of a function is a constant versus a variable expression?
- How does distributing a negative sign in expressions affect the result?
- Why is it important to simplify expressions after substitution?
- How does substituting an expression with multiple terms affect the original function?
Tip: When substituting variable expressions, remember to distribute any constants or coefficients to each term in the expression to avoid mistakes.
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Math Problem Analysis
Mathematical Concepts
Function Evaluation
Algebraic Expressions
Substitution
Formulas
f(x) = 8 - 5x
Theorems
-
Suitable Grade Level
Grades 8-10