Math Problem Statement
What is the value of f^(-1)(3) based on the given function table?
Solution
To solve the problem in the uploaded image:
We are tasked with finding . This means we are looking for the value of such that .
From the table:
- corresponds to .
Thus, .
The correct answer is 12.
Would you like further details or have any other questions?
Here are five related questions for practice:
- What is the value of based on the table?
- What is ?
- Explain the process of finding inverse values from a function table.
- How do you determine if a function has an inverse that is also a function?
- What does it mean graphically for a function and its inverse?
Tip: For a function , the inverse swaps the roles of and . This means implies .
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Math Problem Analysis
Mathematical Concepts
Inverse Functions
Function Tables
Formulas
f(a) = b implies f^(-1)(b) = a
Theorems
Properties of Inverse Functions
Suitable Grade Level
Grades 9-11