KOMPOSISI Fungsi

Summary

In this 'Media Matematika' episode, we explore function composition to simplify a driver's income calculation. Pak Zuki, a programmer, merges two apps used by drivers to calculate earnings from stars and bonuses. The first app calculates stars (FX = 5x + 2) based on passengers (x), while the second computes bonuses (GX = 3000x - 4000) based on stars. By combining these, a new app directly calculates total earnings in rupiahs when inputting the number of passengers. This practical solution reduces the need to open multiple apps, streamlining the process and offering a quick view of earnings.

Takeaways

• 👋 The video is an educational session from 'Media Matematika'.
• 🧮 The topic is about function composition in mathematics.
• 👨‍💻 A fictional character named Pak Zuki is introduced as a programmer working for an online transportation company.
• 🚖 Pak Zuki's project involves combining two apps used by drivers to calculate their earnings.
• 📱 The first app, 'Cek Bintang', calculates stars based on the formula F(x) = 5x + 2, where x is the number of passengers.
• 💵 The second app, 'Cek Bonus', calculates bonuses based on stars using the formula G(x) = 3000x - 4000, where x is the number of stars.
• 🚗 An example scenario is provided where a driver with 8 passengers earns 42 stars and a bonus of 122,000 Rupiah.
• 🤔 Opening two apps is inconvenient for drivers, so Pak Zuki combines them into a single app for practicality.
• 📊 The combined app allows drivers to input the number of passengers and directly see their bonus in Rupiah.
• 👍 The video ends by encouraging viewers to like, share, and subscribe for more educational content.

Q & A

What is the main topic discussed in the video?

The video discusses function composition, focusing on combining two applications used by drivers to calculate their earnings.

Who is Pak Zuki, and what is his role?

Pak Zuki is a programmer working at an online transportation company, and his current project involves combining two applications used by drivers to calculate their earnings.

What are the two applications that Pak Zuki is combining?

The two applications are 'Cek Bintang,' which calculates the number of stars a driver receives, and 'Cek Bonus,' which calculates the bonus a driver earns based on the number of stars.

What formula does the 'Cek Bintang' application use to calculate stars?

The 'Cek Bintang' application uses the formula f(x) = 5x + 2, where f(x) represents the number of stars and x is the number of passengers.

How does the 'Cek Bonus' application calculate the driver's bonus?

The 'Cek Bonus' application uses the formula g(x) = 3000x - 4000, where g(x) represents the bonus in rupiah and x is the number of stars.

How many stars does a driver receive if they transport 8 passengers?

If a driver transports 8 passengers, they receive 42 stars based on the 'Cek Bintang' calculation.

What is the bonus a driver receives if they have 42 stars?

With 42 stars, the driver earns a bonus of 122,000 rupiah based on the 'Cek Bonus' formula.

What is the main issue with the current system of using two applications?

The main issue is that drivers need to use two separate applications, which is inconvenient. It would be more practical to use just one application that directly calculates the bonus based on the number of passengers.

What is the benefit of combining the two applications into one?

By combining the two applications, drivers only need to input the number of passengers once, and the application will directly calculate the bonus, making the process faster and more convenient.

What is the final bonus calculation for a driver who transports 8 passengers using the combined application?

If a driver transports 8 passengers, the combined application calculates their bonus as 122,000 rupiah.