CCSS HSF-BF.B.4 Worksheets
Year 11 · Mathematical Methods - Functions and Graphs
Find the inverse of a function, verify that a function and its inverse undo each other, and understand inverse graphs as reflections in the line y = x (ACARA Mathematical Methods ACMMM153).
Below are free printable worksheets that support HSF-BF.B.4. Print them as PDFs, or generate a fresh one. Every math answer key is computed in code, so it is never wrong.
Teaching guide
What students learn
Find the inverse of a function, verify that a function and its inverse undo each other, and understand inverse graphs as reflections in the line y = x (ACARA Mathematical Methods ACMMM153).
Worked example
Given f(x) = -2x + 2 and g(x) = -3x - 4, find (f o g)(x) = f(g(x)).
Answer: (f o g)(x) = 6x + 10
Why: f(g(x)) = -2(-3x - 4) + 2 = 6x + 10.
Generated and checked in code, so it is correct.