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1.3 Functions

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Question 8

The functions f f\,f and g g\,g are defined by

f:x→ex−2,x∈R f: x \rightarrow e^{x-2}, \quad x \in \mathbb{R} f:x→ex−2,x∈R g:x→3x+2ln⁡x,x∈R,x>0 g: x \rightarrow 3x + 2\ln x, \quad x \in \mathbb{R}, x > 0 g:x→3x+2lnx,x∈R,x>0
a.

Write down the range of fff.

[1]
b.

Find an expression for the composite function gfgfgf.

[2]
c.

Write down the range of gfgfgf.

[1]
Markscheme

1.3 Functions Questions

  1. A Level
  2. /Maths
  3. /1.3 Functions

181 exam-style questions on OCR (MEI) A Level Maths 1.3 Functions, covering 1.3.1 Operations on polynomials, 1.3.2 Factor theorem, 1.3.3 Definition of a function (A-level only), 1.3.4 Composite functions (A-level only), 1.3.5 Inverse functions and their graphs (A-level only), 1.3.6 The modulus function (A-level only), 1.3.7 Inequalities with a modulus sign (A-level only), and 1.3.8 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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