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2.4 Inverse Functions

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Question 1

An industrial cooling system's pressure PPP, in bars, is modeled as a function of the coolant flow rate xxx, in litres per second, by:

P(x)=2x2−2.5,x≥0, x∈R P(x) = 2x^2 - 2.5, \quad x \ge 0, \ x \in \mathbb{R} P(x)=2x2−2.5,x≥0, x∈R
a.

State the range of PPP.

A coordinate plane with axes x and y and the right-hand branch of y = P(x), beginning on the y-axis below the origin and rising into the first quadrant.

[1]
b.

Using the diagram provided, sketch the curve with equation y=P−1(x)y = P^{-1}(x)y=P−1(x).

[2]
c.

The curve with equation y=P(x)y = P(x)y=P(x) meets the curve with equation y=P−1(x)y = P^{-1}(x)y=P−1(x) at the point QQQ.

Using algebra and showing your working,

find the exact xxx-coordinate of QQQ.

[5]
Markscheme

2.4 Inverse Functions Questions

  1. A Level
  2. /Maths
  3. /2.4 Inverse Functions

38 exam-style questions on Edexcel A Level Maths 2.4 Inverse Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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