Math Problem Statement
Find the inverse of the function y = (5 - 2x) / 3
Solution
The function given in the image is:
We are tasked to find the inverse of this function.
Steps to Find the Inverse:
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Replace with :
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Solve for in terms of :
Inverse Function:
The inverse function is:
Let me know if you'd like further details or a breakdown of the steps!
Here are some related questions to explore:
- How do you verify if two functions are inverses of each other?
- What is the domain and range of the given function and its inverse?
- Can you find the derivative of the inverse function?
- How does graphing help in understanding inverses visually?
- What are the real-world applications of inverse functions?
Tip: When finding the inverse,
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Inverse Functions
Formulas
y = (5 - 2x) / 3
Inverse function formula
Theorems
Inverse function theorem
Suitable Grade Level
Grades 9-11