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Functions and Graphs

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Question 175

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

f:x→3x+4,x∈R f : x \rightarrow 3x + 4, \quad x \in \mathbb{R} f:x→3x+4,x∈R g:x→2x+3,x∈R,x≠−3 g : x \rightarrow \frac{2}{x+3}, \quad x \in \mathbb{R}, x \neq -3 g:x→x+32​,x∈R,x=−3
a.

Given that fg(x)=112\displaystyle fg(x)=\frac{11}{2}fg(x)=211​, find xxx

[2]
b.

Verify that x=−209\displaystyle x=-\frac{20}{9}x=−920​ is a solution of the equation gf(x)=6gf(x)=6gf(x)=6

[4]
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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