Math Problem Statement
inverse function of f(x) = x/2 +2
Solution
To find the inverse of the function , follow these steps:
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Replace with :
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Swap and :
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Solve for :
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Replace with :
So, the inverse function of is .
Would you like more details or have any questions?
Here are 5 related questions to explore further:
- What is the inverse function of ?
- How do you verify that two functions are inverses of each other?
- What is the inverse of a quadratic function, such as ?
- How does the graph of a function compare to the graph of its inverse?
- What are the conditions for a function to have an inverse?
Tip: Always remember that the inverse of a function, when composed with the original function, should return the input value (i.e., and ).
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Math Problem Analysis
Mathematical Concepts
Functions
Inverse Functions
Equations
Formulas
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Theorems
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Suitable Grade Level
Grades 10-12