Answer ALL ELEVEN questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 The functions f and g are defined as
f(x) = 3x
g(x) = 15
2 3 x −
(a) Write down the val
...
Answer ALL ELEVEN questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 The functions f and g are defined as
f(x) = 3x
g(x) = 15
2 3 x −
(a) Write down the value of x for which f(x) = 81
(1)
(b) Write down the value of x that must be excluded from any domain of g
(1)
(c) Find fg(4)
(2)
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https://britishstudentroom-b430a.web.app/*P68819A0336* Turn over 3
Question 1 continued
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(Total for Question 1 is 4 marks)
https://britishstudentroom-b430a.web.app/4 *P68819A0436*
2 (a) Find the set of values of x for which
–2x – 4 < 3x + 6 21 – 2x
(3)
(b) Solve the inequality 4x2 – 8x < 21
(3)
(c) Hence represent on the number line on the opposite page, the set of values of x for
which
–2x – 4 < 3x + 6 21 – 2x and 4x2 – 8x < 21
(2)
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https://britishstudentroom-b430a.web.app/*P68819A0536* Turn over 5
Question 2 continued
–5 –4 –3 –2 –1 0 1 2 3 4 5
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