Math Problem Statement
f(x) = x-5 y g(x) = x*2 - 1
Solution
You provided two functions:
What would you like to do with these functions? You could:
- Find values for and at specific values.
- Compose the functions (e.g., or ).
- Find the inverse functions.
- Solve for when .
Please specify your goal.
Here are 5 questions to extend this:
- What is the value of and ?
- How would you compute ?
- What is the graph of and ?
- Can and intersect? If so, where?
- What happens when you solve and ?
Tip: Function composition is a useful tool when combining different processes into a single step.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Function Composition
Formulas
f(x) = x - 5
g(x) = 2x - 1
f(g(x)) = f(2x - 1) = (2x - 1) - 5 = 2x - 6
g(f(x)) = g(x - 5) = 2(x - 5) - 1 = 2x - 10 - 1 = 2x - 11
Theorems
Linear function behavior
Function composition
Suitable Grade Level
Grades 8-10
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