Question 3 Consider the real-valued function G(x) = 2x² - 12x + 13 (a) Determine whether G(x) is a one-to-one function.
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Question 3 Consider the real-valued function G(x) = 2x² - 12x + 13 (a) Determine whether G(x) is a one-to-one function.
Question 3 Consider the real-valued function G(x) = 2x² - 12x + 13 (a) Determine whether G(x) is a one-to-one function. Give reasons. [4 marks] (b) Find G-¹(x), the inverse function of G(x), if it exists. [4 marks] (c) Find the largest possible domain and largest possible range of G-¹(x) if it exists. [4 marks] for x ≤ 1.