CSEC Additional Mathematics · 2012 · Paper 2 · Question 1(a)(iii)
Functions f(x) = x² + 1 for 0 ≤ x ≤ 3 and g(x) = x + 5 for x ∈ R are defined.
Determine the inverse of g(f(x)).
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Practise this questionOther parts of this question
- 1(a)(i)Determine the composition function g(f(x)).[1 mark]
- 1(a)(ii)State the range of g(f(x)).[1 mark]
- 1(b)If x + 2 is a factor of f(x) = 2x³ - 3x² - 4x + a, find the value of a.[2 marks]
- 1(c)Solve the equation 3^(2x) – 9(3^(-2x)) = 8.[5 marks]
- 1(d)(i)Express x³ = 10^(-3) in the form log₁₀x = ax + b.[2 marks]
- 1(d)(ii)Hence, state the value of the gradient of a graph of log₁₀x versus x.[1 mark]
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