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Inverse Functions (A) WORKSHEET
Suitable for Grades: Algebra II, IM 3
CCSS: HSF.BF.B.4
CCSS Description: Find inverse functions. a. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2 x3 or f(x) = (x+1)/(x–1) for x ≠ 1. b. (+) Verify by composition that one function is the inverse of another. c. (+) Read values of an inverse function from a graph or a table, given that the function has an inverse. d. (+) Produce an invertible function from a non-invertible function by restricting the domain.
Inverse Functions (A) WORKSHEET DESCRIPTION
This worksheet will give learners plenty of practice in finding inverse functions, using the inverse function notation, and solving problems involving inverse functions. Section A starts with a table of functions in the form f(x). Learners must use an appropriate method to find the inverse function. Section B then have some exam style questions involving solving equations of inverse functions and composite functions. There is also a more challenging extension question.
