O-LevelMathematicsAlgebra and graphs4024/21 · Oct/Nov 2022 · Q49 Marks
f(x) = x² - 7 g(x) = (4-3x)/2
- (a)Find f(8).[1]
- (b)Find g(-2).[1]
- (c)Find g⁻¹(x).[3]
- (d)Solve f(2x-1) + 3 = 0.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- [1] (a) 57 cao
- [1] (b) 5 cao
- [3] (c) (4-2x)/3 oe final answer; B2 for 3y = 4-2x or x = (4-2y)/3 oe or B1 for x = (4-3y)/2 or 2y=4-3x or y-2 = -3x/2 oe
- [4] (d) 1/2 oe and 3/2 oe; B1 for (2x-1)²-7+3[=0] AND M2 for 2x-1=±√4 or M1 for 2x-1=[±]√4 OR M1 for expansion of bracket and simplification to 3-term quadratic 4x²-4x-3[=0] M1 for correct factorisation/use of formula for their 3-term quadratic (2x+1)(2x-3)[= 0]
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