Common Core Math - HS Functions
Lesson Plan
Verify inverse by composition
Goals / Objectives
State the formal definition of inverse functions using composition: f and g are inverses if f(g(x)) = x AND g(f(x)) = x
Verify an inverse relationship by computing both compositions symbolically and showing each simplifies to x
Explain why BOTH compositions must be checked, not just one
Use composition verification to catch errors in inverse-finding procedures
Verify inverse relationships numerically by evaluating f(g(a)) and g(f(a)) at several values
Apply the composition test to non-obvious pairs, including functions that might "look like" inverses but aren't
Standards
HSF.BF.B.4.b
HSF.BF.B.4.b: (+) Verify by composition that one function is the inverse of another.
Academic Vocabulary
Not in our source material
Remediation
Enrichment
Accommodations
Not in our source material
Anticipatory Set / Bell Work
Modeling
Check for Understanding
This lesson’s brief has no Formative Assessment or Assessment Ideas