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Algebra and functions

From Paper 1: Pure Mathematics
21 mark
The function f is defined by f(x) = 2 - e-x for all real x. Which of the following is the range of f?
From Paper 1: Pure Mathematics
33 marks
Solve the inequality |2x - 5| ≤ 3.
From Paper 1: Pure Mathematics
76 marks
The functions f and g are defined by f(x) = (2x + 1)/(x - 3), x ≠ 3 and g(x) = x2 + 1. (a) Find f-1(x) and state its domain. (b) Find the exact value of fg(2).
From Paper 2: Pure and Mechanics
34 marks
(a) Express (5x + 4)/((x + 2)(x - 1)) in partial fractions. (b) Hence find ∫ (5x + 4)/((x + 2)(x - 1)) dx.
From Paper 3: Pure and Statistics
21 mark
Which transformation maps the graph of y = f(x) onto y = f(2x)?
From Paper 3: Pure and Statistics
88 marks
(a) Sketch the graph of y = |x2 - 4|, stating the coordinates of the points where it meets the axes. (b) Solve |x2 - 4| = 3x.
Score 0 / 23 · 0 of 6 marked

This paper is written by Plasmo in the style of the AQA A-Level Maths exam. It is not a past paper and is not produced or endorsed by the exam board.

Algebra and functions Exam Questions: AQA A-Level Maths | Plasmo