O-LevelAdditional MathematicsFunctions4037/21 · Oct/Nov 2011 · Q56 Marks
The functions f and g are defined, for x ∈R, by f : x → 2x + 3, g : x → x² – 1. Find fg(4).
- (a)The functions f and g are defined, for x ∈R, by f : x → 2x + 3, g : x → x² – 1. Find fg(4).[2]
- (b)(i)The functions h and k are defined, for x > 0, by h : x → x + 4, k : x → √x Express each of the following in terms of h and k. x → √x + 4[1]
- (b)(ii)x → x + 8[1]
- (b)(iii)x → x² – 4[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.
- [1] f(15) evaluated or fg(x) = 2(x² - 1) + 3
- [1] 33
- [1] kh
- [1] h² or hh
- [2] h⁻¹k⁻¹ or (kh)⁻¹
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