Common Core · High school
HSF-BF.B.4.B
High school — Verify by composition that one function is the inverse of another.
A note on this mapping: HSF-BF.B.4.B is a (+) standard — beyond the college- and career-ready threshold, i.e. precalculus rather than Algebra II.
The skill that covers it
What a student should be able to do
- Find the inverse of a function algebraically by swapping x and y and solving.
- Verify that two functions are inverses by showing f(g(x)) = x and g(f(x)) = x.
- Read values of an inverse from a table or a graph, and reflect a graph in the line y = x.
- Use the horizontal line test, and restrict a domain so that a function has an inverse.