A scientist is studying the population dynamics of two species of insects in a controlled environment. The population of species A at time $t$ (in weeks) is modeled by the function $f(t) = 2t + 5$, and the average food consumption rate per insect of species B is modeled by the function $g(x) = x^2 + 1$, where $x$ represents the population of species A.
b. Determine the rule for the composite function $g(f(t))$.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 2 marks, testing your understanding of Composition of Functions. It falls under Algebra, number and structure in Unit 4: Mathematical Methods Unit 4. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Continues the study of functions, algebra, calculus, and introduces probability and statistics.
Covers algebra of functions, inverse functions, and solutions of equations and systems of equations.
composition of functions, where $f$ composite $g, f \circ g$, is defined by $(f \circ g)(x)=f(g(x))$ given $r_{g} \subseteq d_{f}$
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