CSEC Additional Mathematics · 2018 · Paper 2 · Question 1(a)(i)
A function f(x) = x^2 - 4 is defined for x >= 0.
Find the inverse function, f⁻¹(x), stating its domain.
The mark scheme is shown once you've answered.
Practise this questionOther parts of this question
- 1(a)(ii)On the grid provided below, sketch f⁻¹(x).[2 marks]
- 1(a)(iii)State the relationship between f(x) and f⁻¹(x).[2 marks]
- 1(b)Derive the polynomial, P(x), of degree 3 which has roots equal to 1, 2 and -4.[3 marks]
- 1(c)(i)Use logarithms to derive an equation of the form y = mx + c that can be used to find the values of k and a.[2 marks]
- 1(c)(ii)If a graph of y versus x from the equation in Part (c) (i) is plotted, a straight line is obtained. State an expression for the gradient of the graph.[1 mark]
More practice: the rest of this paper · more Graphs of Quadratic Functions questions · all CSEC Additional Mathematics past papers