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Functions and Graphs

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Question 84

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.

Write down g(f(x))g(f(x))g(f(x))

[1]
c.

Find an expression for the composite function gfgfgf

[1]
d.

Write down the range of gfgfgf

[1]
Markscheme

Functions and Graphs Questions

  1. A Level
  2. /Maths
  3. /Functions and Graphs

471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.

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