Math Problem Statement
Given f(x) = 2x - 1 find f(x + h)
Solution
To find for the given function , we simply substitute in place of in the original function:
Now simplify:
Thus, .
Would you like further details or have any questions?
Here are some related questions:
- How do you find for the same function ?
- What is the difference between and ?
- How does relate to the concept of a derivative?
- How can you calculate in this case?
- What happens when you substitute a negative value for in ?
Tip: Understanding how to manipulate function arguments (like ) is crucial for grasping the fundamentals of calculus and algebraic transformations.
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Function Substitution
Formulas
f(x) = 2x - 1
f(x + h) = 2(x + h) - 1
Theorems
-
Suitable Grade Level
Grades 9-11