Functions — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[2](a)f(x) = 2x + 3 and g(x) = x². Find fg(x).

Question 2

[3](a)f(x) = 2x + 3. Find f⁻¹(x), the inverse function.

Question 3

[2](a)f(x) = 3x − 2 and g(x) = x + 4. Find fg(x).

Question 4

[2](a)Using the same functions, find gf(x).

Question 5

[3](a)f(x) = 3x − 2. Find f⁻¹(x).

Question 6

[1](a)f(x) = x² + 1. Find f(3).

Question 7

[1](a)f(x) = (x−1)/2. Find f(5).

Question 8

[2](a)g(x) = 2x² − 3. Find g(−2).

Question 9

[2](a)f(x) = x + 5 and g(x) = x². Find fg(3).

Question 10

[1](a)Explain what is meant by the 'domain' of a function.

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