Math Problem Statement
If f−1(−7)=−8, find f(−8). Your answer is
Solution
If , it means that . This is because the inverse function, , undoes the action of the original function . So:
Thus, .
Would you like further details on inverse functions or have any questions?
Here are 5 related questions:
- What is the general process of finding an inverse function?
- How do you verify that two functions are inverses of each other?
- How do you solve for when given a point on the graph of ?
- What are the properties of inverse functions?
- Can a function have more than one inverse?
Tip: The graph of a function and its inverse are reflections across the line .
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Math Problem Analysis
Mathematical Concepts
Inverse Functions
Function Composition
Formulas
f(f^{-1}(x)) = x and f^{-1}(f(x)) = x
Theorems
Inverse Function Theorem
Suitable Grade Level
Grades 9-12