Function Notation and Composition

Function Notation and Composition

Grade 11th Grade · Math · 56 min

What's Included

Learning Objective

I can evaluate functions using function notation and find the composition of two functions.

Warm-Up Video

Khan Academy · 6:15

Introduction to function composition | Functions and their graphs | Algebra II | Khan Academy

Guided Notes

3 key concepts

  • 1

    Function composition involves nesting one function inside another to create a new function.

  • 2

    To evaluate F(G(2)), first find G(2), then use that result as the input for F.

  • 3

    In the example, H(G(F(2))) is evaluated by finding F(2) = 3, then G(3) = 4, and finally H(4) = -1.

Practice Questions

12 questions · Multiple choice & Short answer

Exit Ticket

Quick comprehension check

Given f(x) = x² - 1, g(t) as defined in the video, and h(x) as defined in the video, evaluate H(F(1)). Show all steps.

Complete Lesson Package

Get all 3 ready-to-use resources:

Teacher Guide
Student Doc
Slides