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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 49

The functions f f\,f and g g\,g are defined for all real values of x x\,x by

f(x)=2x2−3xf(x) = 2x^2 - 3xf(x)=2x2−3x and g(x)=4x+4g(x) = 4x + 4g(x)=4x+4

a.

Using set notation, find the range of fff.

[2]
b.

Determine whether f f\,f has an inverse. Fully justify your answer.

[2]
c.

Determine the set of values of x x\,x for which f(x)>g(x)f(x) > g(x)f(x)>g(x). Give your answer in set notation.

[3]
Markscheme

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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