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Functions and Graphs

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Question 183

A precision thermal probe uses a linear scaling function HHH to map a raw voltage vvv to a temperature reading H(v)H(v)H(v), defined by:

H(v)=11v−214 H(v) = \frac{11v - 21}{4} H(v)=411v−21​

A technician identifies a specific voltage where the probe's output is identical to the output of the inverse scaling function H−1H^{-1}H−1 applied to that same voltage.

Solve the equation:

H(v)=H−1(v) H(v) = H^{-1}(v) H(v)=H−1(v)

Select your answer from the options below:

v=−3v = -3v=−3

v=1v = 1v=1

v=3v = 3v=3

v=7v = 7v=7

[2]
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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