Subject
Grade
Big Idea
Using inverses is the foundation of solving equations and can be extended to relationships between functions.
Elaboration
- undo the operations within an expression or function to reduce the expression to an identity (e.g., x = )
- Sample questions to support inquiry with students:
- How can the inverse help to solve an equation?
- How is solving an equation related to identifying the specific input for a function, given a specific output?
- How are exponential and logarithmic functions related?
- How are the laws of exponents connected to the laws of logarithms?
- What are some other examples of inversely related functions?
- How are inverses related graphically, and why?
- How is solving an exponential equation similar to solving a trigonometric equation?
- How are inverse operations related to solving a polynomial equation by factoring?
- What is the value of using trigonometric identities to find equivalent expressions?
- Why do some equations have extraneous roots and other equations do not?
keywords
inverses