Function Notation and Composition
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Objective
I can evaluate functions using function notation and find the composition of two functions.
Part 1 of 4
Warm-up video
Khan Academy · 6:15Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 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.
Part 3 of 4
Practice
12 questions
What does it mean to compose functions?
If f(x) = x + 2 and g(x) = 3x, what is f(g(x))?
Part 4 of 4
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.”
Sample answer included in the free materials
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Teacher Guide
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