FUNCTIONS | O LEVELS (4024) & IGCSE (0580) | 2025 | Sir Arshad

𝟮 𝗔𝗹𝗴𝗲𝗯𝗿𝗮 𝗮𝗻𝗱 𝗴𝗿𝗮𝗽𝗵𝘀 𝟮.𝟭𝟮 𝗙𝘂𝗻𝗰𝘁𝗶𝗼𝗻𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗘𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Understand functions, domain Examples include: and range, and use function notation. • f (x) = 3x – 5 • g(x) = 3(x + 4) / 5 • h(x) = 2x^2 + 3 . 2) Understand and find inverse functions f ^ –1(x). 3) Form composite functions as e.g. f(x) = 3 x + 2 and g(x) = (3x + 5)2. Find fg(x). Give defined by gf(x) = g(f(x)) your answer as a fraction in its simplest form. Candidates are not expected to find the domains and ranges of

𝟮 𝗔𝗹𝗴𝗲𝗯𝗿𝗮 𝗮𝗻𝗱 𝗴𝗿𝗮𝗽𝗵𝘀 𝟮.𝟭𝟮 𝗙𝘂𝗻𝗰𝘁𝗶𝗼𝗻𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗘𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Understand functions, domain Examples include: and range, and use function notation. • f (x) = 3x – 5 • g(x) = 3(x + 4) / 5 • h(x) = 2x^2 + 3 . 2) Understand and find inverse functions f ^ –1(x). 3) Form composite functions as e.g. f(x) = 3 x + 2 and g(x) = (3x + 5)2. Find fg(x). Give defined by gf(x) = g(f(x)) your answer as a fraction in its simplest form. Candidates are not expected to find the domains and ranges of

𝟮 𝗔𝗹𝗴𝗲𝗯𝗿𝗮 𝗮𝗻𝗱 𝗴𝗿𝗮𝗽𝗵𝘀 𝟮.𝟭𝟮 𝗙𝘂𝗻𝗰𝘁𝗶𝗼𝗻𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗘𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Understand functions, domain Examples include: and range, and use function notation. • f (x) = 3x – 5 • g(x) = 3(x + 4) / 5 • h(x) = 2x^2 + 3 . 2) Understand and find inverse functions f ^ –1(x). 3) Form composite functions as e.g. f(x) = 3 x + 2 and g(x) = (3x + 5)2. Find fg(x). Give defined by gf(x) = g(f(x)) your answer as a fraction in its simplest form. Candidates are not expected to find the domains and ranges of

𝟮 𝗔𝗹𝗴𝗲𝗯𝗿𝗮 𝗮𝗻𝗱 𝗴𝗿𝗮𝗽𝗵𝘀 𝟮.𝟭𝟮 𝗙𝘂𝗻𝗰𝘁𝗶𝗼𝗻𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗘𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Understand functions, domain Examples include: and range, and use function notation. • f (x) = 3x – 5 • g(x) = 3(x + 4) / 5 • h(x) = 2x^2 + 3 . 2) Understand and find inverse functions f ^ –1(x). 3) Form composite functions as e.g. f(x) = 3 x + 2 and g(x) = (3x + 5)2. Find fg(x). Give defined by gf(x) = g(f(x)) your answer as a fraction in its simplest form. Candidates are not expected to find the domains and ranges of

𝟮 𝗔𝗹𝗴𝗲𝗯𝗿𝗮 𝗮𝗻𝗱 𝗴𝗿𝗮𝗽𝗵𝘀 𝟮.𝟭𝟮 𝗙𝘂𝗻𝗰𝘁𝗶𝗼𝗻𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗘𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Understand functions, domain Examples include: and range, and use function notation. • f (x) = 3x – 5 • g(x) = 3(x + 4) / 5 • h(x) = 2x^2 + 3 . 2) Understand and find inverse functions f ^ –1(x). 3) Form composite functions as e.g. f(x) = 3 x + 2 and g(x) = (3x + 5)2. Find fg(x). Give defined by gf(x) = g(f(x)) your answer as a fraction in its simplest form. Candidates are not expected to find the domains and ranges of

𝟮 𝗔𝗹𝗴𝗲𝗯𝗿𝗮 𝗮𝗻𝗱 𝗴𝗿𝗮𝗽𝗵𝘀 𝟮.𝟭𝟮 𝗙𝘂𝗻𝗰𝘁𝗶𝗼𝗻𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗘𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Understand functions, domain Examples include: and range, and use function notation. • f (x) = 3x – 5 • g(x) = 3(x + 4) / 5 • h(x) = 2x^2 + 3 . 2) Understand and find inverse functions f ^ –1(x). 3) Form composite functions as e.g. f(x) = 3 x + 2 and g(x) = (3x + 5)2. Find fg(x). Give defined by gf(x) = g(f(x)) your answer as a fraction in its simplest form. Candidates are not expected to find the domains and ranges of

𝟮 𝗔𝗹𝗴𝗲𝗯𝗿𝗮 𝗮𝗻𝗱 𝗴𝗿𝗮𝗽𝗵𝘀 𝟮.𝟭𝟮 𝗙𝘂𝗻𝗰𝘁𝗶𝗼𝗻𝘀 𝗡𝗼𝘁𝗲𝘀 𝗮𝗻𝗱 𝗘𝘅𝗮𝗺𝗽𝗹𝗲𝘀 1) Understand functions, domain Examples include: and range, and use function notation. • f (x) = 3x – 5 • g(x) = 3(x + 4) / 5 • h(x) = 2x^2 + 3 . 2) Understand and find inverse functions f ^ –1(x). 3) Form composite functions as e.g. f(x) = 3 x + 2 and g(x) = (3x + 5)2. Find fg(x). Give defined by gf(x) = g(f(x)) your answer as a fraction in its simplest form. Candidates are not expected to find the domains and ranges of