SPM 2021 Paper 1

Question 13: $$ \text { It is given that } f(x)=\frac{3}{4 x-1}, x \neq \frac{1}{4} \text { and } f g(x)=\frac{3}{4 x^2+3} \text {. } $$(a) Find the object of f(x) if the image is 1/3. [2 marks](b) Express m in terms of p if f(m + 1) = 3fg(p). [2 marks](c)(i) Find g(x).(ii) Hence, … Read more

Question 5:It is given that f(x) = x2 + 3x – 4.(a) Find the range of values of x such that f(x) > 0. [2 marks](b) The equation px + q – f(x) = 0, such that p and q are constants, has roots α and β.(i) State α + β and αβ in terms … Read more

Question 3:In a geometric progression, the first term is 217 and the common ratio is 2/3.Find(a) the maximum value of n such that the sum of the first n terms of the progression is less than 650, [2 marks](b) the difference between the 5th term and the sum of all the terms of the progression. … Read more