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2.3 Composite Functions

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Question 10

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

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

2.3 Composite Functions Questions

  1. A Level
  2. /Maths
  3. /2.3 Composite Functions

Practise Edexcel A Level Maths 2.3 Composite Functions with exam-style questions for A Level Maths. 18 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank

Algebraic Methods
Functions and Graphs
Sequences and Series
Binomial Expansion
Radians
Trigonometric Functions
Trigonometry and Modelling
Parametric Equations
Differentiation
Numerical Methods
Integration
Vectors