Math Problem Statement
Use the graph of the function f to find the indicated values: f^{-1}(3), f^{-1}(4), and f^{-1}(5).
Solution
To solve for , , and , we need to find the corresponding x-values on the graph where the function equals the given y-values.
(a) :
- Look for on the graph.
- Follow horizontally to see where it intersects the function.
- At , the graph intersects at .
Thus, .
(b) :
- Look for on the graph.
- Follow horizontally to see where it intersects the function.
- At , the graph intersects at and .
Thus, and .
(c) :
- Look for graphically). -( --- ; clearing..
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Math Problem Analysis
Mathematical Concepts
Functions
Inverse Functions
Graph Interpretation
Formulas
If f(x) = y, then f^{-1}(y) = x
Theorems
The definition of inverse functions: f^{-1}(y) gives the x-value where f(x) = y.
Suitable Grade Level
Grades 9-11