Mathematics · May / June 2025 · Paper 21 · Question 14
0580
As printed in the paper
The question as text
( ) f x x 3 4 ¢ Ä ( ) g x x 4 1 ¢ Ë
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Show the answer and mark scheme
14(a)[1]
–10 [1]
14(b)[2]
+ x 4 oe 3 [2]
M1 for correct first step y + 4 = 3x or x = 3y – 4 y 4 = − or x 3 3
14(c)[2]
a = 12, b = –1 [2]
B1 for either a or b correct
or M1 for 3(4x + 1) – 4
14(d)[3]
− − 22 7 x 22 7 x or ( )( ) − + 2 − − 3 x 4 4 x 1 12 x 13 x 4 final answer [3]
B1 for 2(4x + 1) – 5(3x – 4) oe or better isw
B1 for common denominator (3x – 4)(4x + 1) oe isw
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