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7. It is given that f(x) = (x + 3) + 3 for which x . 0 and g(x) = for which x . 0.
2
Solve the equation fg(x) = 52. x
= – 1 [3]
2
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8. f(x) = ax + b, where a and b are constants, and a . 0.
It is given that f (x) = 49x − 40.
2
Find the values of a and b.
[3]
9. Sketch the graph of f(x) = 3 − x for which x . 0.
2
Sketch the inverse function of f(x) = 3 − x and find its equation.
2
y
x
[5]
10. Given the function f(x) = x + 3, and g(x) = x – 1 , x ≠ k.
2x – 1
(a) State the value of k.
[1]
Cambridge IGCSE
TM
4 Ace Your Additional Mathematics
Chapter 1 Add Math (1 to 12).indd 4 14/03/2022 12:16 PM
