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3.2 Algebra and Functions (A-level only)

3.2 Algebra and Functions (A-level only)

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Question 159

The net harvesting efficiency EEE of a solar panel array over time ttt (in years) is modeled by the function:

E(t)=3−t−2t+4+t+702t2+5t−12,t>4 E(t) = 3 - \frac{t - 2}{t + 4} + \frac{t + 70}{2t^2 + 5t - 12}, \quad t > 4 E(t)=3−t+4t−2​+2t2+5t−12t+70​,t>4
a.

Show that

E(t)=at+bct+d,t>4 E(t) = \frac{at + b}{ct + d}, \quad t > 4 E(t)=ct+dat+b​,t>4

where a,b,ca, b, ca,b,c and ddd are integers to be found.

[4]
b.

Determine an expression for E−1(x)E^{-1}(x)E−1(x).

[3]
c.

Find the domain of E−1E^{-1}E−1.

[3]
Markscheme

3.2 Algebra and Functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2 Algebra and Functions (A-level only)

216 exam-style questions on WJEC A Level Maths 3.2 Algebra and Functions (A-level only), covering 3.2.1 Algebra and Functions (A-level only), 3.2.2 Algebra and Functions (A-level only), 3.2.3 Algebra and Functions (A-level only), 3.2.4 Algebra and Functions (A-level only), 3.2.5 Algebra and Functions (A-level only), 3.2.6 Algebra and Functions (A-level only), and 3.2 Algebra and Functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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