Math Problem Statement
What is the value of f^(-1)(-2)?
Solution
The problem asks for the value of , where is the inverse function of . This means we need to find the -value such that .
Looking at the table provided:
\hline x & y \\ \hline -2 & 2 \\ -1 & 6 \\ 0 & 10 \\ 1 & 14 \\ 2 & 18 \\ \hline \end{array}$$ None of the $$y$$-values in the table match $$-2$$, so this means $$f(x) = -2$$ is not possible for any of the listed $$x$$-values. Therefore, $$f^{-1}(-2)$$ does not exist. Would you like more details on inverse functions or related concepts? Here are five questions that expand on this: 1. What are the conditions for a function to have an inverse? 2. How do you find the inverse of a function algebraically? 3. How do you graph the inverse of a function? 4. What does it mean when an inverse function doesn't exist? 5. How do you verify if two functions are inverses of each other? **Tip:** When looking for the inverse of a function, swap the $$x$$- and $$y$$-coordinates, then solve for $$x$$.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Inverse Functions
Function Tables
Formulas
-
Theorems
Inverse Function Definition
Suitable Grade Level
Grades 9-12