Page 70 - ADVANCED MATH F.5

Form Five Form Five

10.

FOR ONLINE READING ONLY

Domain = { :xx ∈ , x ≠− 2, x ≠ 2 }
Range = { :yy ∈ }

Composite functions

Teaching steps
1. Guide students through discussion to explain the concept of
composite function. Assist students in identifying inner and
outer functions of a composite function.

2. Engage students to perform Activity 4.2 in the Student’s Book
to verify whether the composite of two linear functions is also
a linear function. Advise students to make presentations for
more inputs.

3. Guide students through discussions to outline the steps to form
a composite function. Through discussions ask them to decide
on the inner and outer functions.
4. Use Examples 4.18 to 4.24 in the Student’s Book to guide

students to substitute the inner function into the variable of
the outer function and assist them with further simplifications
5. Instruct students to attempt Exercise 4.6 in the Student’s Book.
Advise students to submit their work, check the correctness of
the answers, and provide them feedback where necessary.

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Mathematics for Advanced Secondary Schools

30/06/2024 18:02:05
ADVANCED MATH F.5 TG CHAPTERS.indd 64
ADVANCED MATH F.5 TG CHAPTERS.indd 64 30/06/2024 18:02:05