TUGAS AKHIR PEMBATIK LEVEL 3 KREASI 2024 - VIDEO PEMBELAJARAN | FUNGSI KOMPOSISI

Summary

In this video, viewers are introduced to the concept of function composition through a practical example. The story follows Bima, a programmer, who combines two applications used by a transportation company to calculate driver bonuses based on passenger count and star ratings. By composing the two functions into one, Bima simplifies the process, making it more efficient for drivers. The video provides a clear, step-by-step explanation of how to determine and apply function composition, encouraging viewers to practice and understand this key mathematical concept.

Takeaways

• 😀 Function composition combines two or more functions into a simpler, more efficient function.
• 😀 In the example, the functions calculate stars (based on passengers) and bonuses (based on stars).
• 😀 The goal of function composition is to reduce the complexity of using multiple functions by combining them into one.
• 😀 Bima, a programmer, is tasked with simplifying two applications used by an online transportation company: one for checking stars and the other for checking bonuses.
• 😀 The function for checking stars is defined as f(x) = 4x + 5, where x represents the number of passengers.
• 😀 The function for checking bonuses is defined as g(x) = 5000x - 2000, where x represents the number of stars earned.
• 😀 Instead of using two separate applications, the goal is to combine them into a single function for convenience.
• 😀 After combining the two functions, Bima arrives at the composition g(f(x)) = 20,000x + 23,000.
• 😀 With the new function, the bonus calculation becomes simpler. For example, 5 passengers result in a bonus of 123,000 IDR.
• 😀 The concept of function composition is explained as a way to make processes more efficient by eliminating the need for multiple inputs and steps.
• 😀 The video concludes by encouraging viewers to practice the concept of function composition with exercises.

Q & A

What is the main topic discussed in the video?

The main topic discussed in the video is function composition in mathematics, specifically how two separate functions can be combined into a simpler, more efficient function.

Who is Bima, and what is his role in the example?

Bima is a programmer who works for a transportation company. His role in the example is to combine two applications used by the company, one for calculating stars based on the number of passengers and the other for calculating the bonus based on stars.

What are the two applications mentioned in the video?

The two applications are the 'check stars' app, which calculates the stars based on the number of passengers, and the 'check bonus' app, which calculates the bonus based on the stars.

What is the function used in the 'check stars' app, and what does it represent?

The function used in the 'check stars' app is f(x) = 4x + 5, where f(x) represents the number of stars earned, and x represents the number of passengers the driver transports.

What is the function used in the 'check bonus' app, and what does it calculate?

The function used in the 'check bonus' app is g(x) = 5000x - 2000, where g(x) represents the bonus in rupiah, and x represents the number of stars earned by the driver.

How does function composition simplify the process for the driver?

Function composition simplifies the process by combining both functions into one. Instead of using two separate applications, the driver can input the number of passengers into a single function that directly calculates the bonus.

What is the combined function for both applications, and how is it derived?

The combined function is g(f(x)) = 20,000x + 23,000. It is derived by substituting the output of the first function (f(x)) into the second function (g(x)), which eliminates the need for two separate calculations.

How do you calculate the bonus for a driver who transports 5 passengers?

For 5 passengers, first calculate the number of stars: f(5) = 4(5) + 5 = 25 stars. Then, calculate the bonus: g(25) = 20,000(5) + 23,000 = 123,000 rupiah.

What is the significance of function composition in this example?

The significance of function composition in this example is that it makes the process more efficient and user-friendly by reducing two steps into one. The driver only needs to input the number of passengers once to directly get the bonus amount.

What mathematical concept does the example illustrate?

The example illustrates the concept of function composition, which involves combining two or more functions to form a single, more efficient function.