Question: 7. Given f(x) = Vx2 + 3, determine p(x), q(x), and r(x) such that f (x) = p(q(r(x))). vv Part D - Application [APP -

7. Given f(x) = Vx2 + 3, determine p(x), q(x), and r(x) such that f (x) = p(q(r(x))). vv Part D - Application [APP - 20 marks] 1. Solve for x, where O S x ST. VVVV 1 tan x = - sin (2x) 2. The population of Mathville is modelled by the function P(t) = -2t3 + 54t2 - 40t + 21000 where t represents the number of years since 2015. a) What will the population be in 2023? v b) Determine the average rate of change of the population from 2018 to 2028. c) Determine the instantaneous rate of change of the population in 2037. v Page 8 of 10

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