Let g1 and g2 be two graphs whose adjacency matrices

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Unformatted text preview: f : a 3 x, g : x a x + 2 . (a) Find an expression for (f ° g) (x). (b) Show that f–l (18) + g–l (18) = 22. ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... (Total 6 marks) 505 750. A sum of $5 000 is invested at a compound interest rate of 6.3% per annum. (a) Write down an expression for the value of the investment after n full years. (b) What will be the value of the investment at the end of five years? (c) The value of the investment will exceed $10 000 after n full years, (i) Write down an inequality to represent this information. (ii) Calculate the minimum value of n. ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... .................................................................................................................................
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