O-LevelMathematicsAlgebra and graphs4024/22 · Oct/Nov 2020 · Q68 Marks
f(x) = 4(2-x) g(x) = 7 - 3x/5
- (a)Find f(-5).[1]
- (b)Solve the inequality f(x) > 3.[2]
- (c)Find f⁻¹(x).[2]
- (d)f(p) = g(2p+1) Find the value of p.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [1] 28.
- [2] M1 for 8 - 4x > 3 or 2 - x > 3/4 or better; Final answer x < 5/4 oe.
- [2] B1 for intermediate step like x = 4(2-y) or x/4 = 2-y; Final answer f⁻¹(x) = (8-x)/4 oe.
- [3] M1 for setting up equation 4(2-p) = 7 - (3(2p+1))/5; M2 for 40 – 20p = 35 – 6p – 3 or better (removing fractions and expanding); Final answer p = 4/7 oe.
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