The number of daily active users (DAU) of a social media application can be modelled by the function $f(t) = t + 2$, where $t$ is the number of days since the application was launched. The target daily active users required to make the application profitable is given by the function $g(t) = 5$, where $t$ is the number of days since the application was launched.
a. State the number of days after launch when the number of daily active users, $f(t)$, reaches the target daily active users, $g(t)$.
Marking your answer...
This may take a few seconds
Sign up for free to see your full marking breakdown and personalised study recommendations.
Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 1 mark, testing your understanding of Solution of Equations f(x) = g(x). It falls under Algebra, number and structure in Unit 3: Mathematical Methods Unit 3. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Extend introductory study of functions, algebra, calculus. Focus on functions, relations, graphs, algebra, and applications of derivatives.
Covers algebra of functions, inverse functions, and solutions of equations and systems of equations.
solution of equations of the form $f(x)=g(x)$ over a specified interval, where $f$ and $g$ are functions of the type specified in the 'Functions, relations and graphs' area of study, by graphical, numerical and algebraic methods, as applicable
All free, all instant AI marking.
The concentration, $C$ (in mg/L), of a drug in a patient's bloodstream is modelled by $C(t) = rac{5t}{t^2 + 1}$, where $t$ is the time in ho…
The population, $P$, of a bacterial colony at time $t$ hours is modelled by the equation $P = 100e^{0.5t}$. A competing bacterial colony has…
Consider the functions $f(x) = 2x - 1$ and $g(x) = 3$, where $x \in [-2, 5]$. State the solution to the equation $f(x) = g(x)$ within the sp…
StudyPulse has thousands of VCE Mathematical Methods questions with full AI feedback, mark breakdowns, progress tracking, and study notes across every Key Knowledge point including Solution of Equations f(x) = g(x).
