f(g(x)): Fluency & Practice

Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on the understanding and calculation of composite functions of the form f(g(x)) for Grade 8 students, including procedural practice and problem-solving.

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Full preview • 12 questions

f(g(x)): Fluency & Practice

Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet

Grade Grade 8
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Given f(x) = 2x + 3 and g(x) = x - 4, calculate f(g(5)).
[2 marks]
2.
If f(x) = x^2 and g(x) = 3x + 1, find f(g(2)).
[2 marks]
3.
Calculate f(g(0)) where f(x) = 5 - x and g(x) = 2x + 3.
[2 marks]
4.
Given f(x) = x/2 + 1 and g(x) = x^2, find f(g(3)).
[2 marks]
5.
If f(x) = 3x - 2 and g(x) = x + 7, determine f(g(4)).
[2 marks]
6.
Construct f(g(x)) where f(x) = x^2 and g(x) = 4 - x.
[3 marks]
7.
Calculate f(g(-2)) using f(x) = x + 5 and g(x) = 2x.
[2 marks]
8.
A function f(x) = x^3 and g(x) = x + 1 are given. Find f(g(2)).
[2 marks]
9.
Given f(x) = 2x - 1 and g(x) = x^2 + 2, evaluate f(g(3)).
[2 marks]
10.
If f(x) = x/3 and g(x) = 3x - 6, find f(g(9)).
[2 marks]
11.
Calculate the composite function f(g(x)) where f(x) = x^2 - 4 and g(x) = 2x + 1.
[3 marks]
12.
Identify the mistake: f(x) = x + 2, g(x) = x^2, and students are asked to find f(g(3)) but mistakenly calculate f(g(4)). What's the error?
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet