Fungsi invers suatu Fungsi. Cara biasa + TRIK CEPAT DAN MUDAH FUNGSI INVERS

Summary

In this tutorial, the presenter explains an easy method for determining the inverse of a function. The video covers two methods: a traditional approach and a super-fast trick. The first example demonstrates finding the inverse of a function using basic algebraic steps, while the second example introduces a shortcut for quicker calculation. The video aims to make understanding inverse functions accessible and efficient, encouraging viewers to ask questions in the comments and offering further help through other educational resources. The tutorial is aimed at students struggling with math and related subjects like physics and chemistry.

Takeaways

• 😀 The video explains how to easily find the inverse of a function, starting with a simple example.
• 😀 It introduces two methods for finding the inverse: a standard school method and a super-fast shortcut method.
• 😀 The first method involves setting the function equal to 'y', solving for 'x', and then rearranging the equation.
• 😀 The second, shortcut method, uses a formula when the function is in the form 'ax + b', giving the inverse as 'x - b / a'.
• 😀 An example is provided for the function f(x) = 4x + 5, with step-by-step guidance on how to calculate the inverse.
• 😀 The same approach is applied to another example where f(x) = 2x + 5 / 3x - 4, showing how to solve using both methods.
• 😀 The shortcut method for functions in the form 'ax + b' is demonstrated to be quick and efficient.
• 😀 The video encourages viewers to try the methods on their own to ensure understanding and familiarity with the process.
• 😀 The presenter highlights the importance of practicing these methods to master determining inverses of functions.
• 😀 Viewers are invited to ask questions about math topics in the comments or through the provided WhatsApp contact for further assistance.

Q & A

What is the main topic of the video?

The main topic of the video is how to determine the inverse function of a given function in an easy way.

What is the first method used to determine the inverse function in the video?

The first method involves assuming the function fx as y, and then rearranging the equation to solve for x, followed by swapping x and y to get the inverse.

How is the inverse function determined when the function is fx = 4x + 5?

To find the inverse, the equation 4x + 5 is first assumed as y. Then, solve for x by isolating it on one side of the equation. After that, swap x and y to get the inverse function, which is x - 5/4.

What is the shortcut method for finding the inverse function presented in the video?

The shortcut method involves using a specific formula. If the function is of the form fx = Ax + B, the inverse function can be determined by using the formula x - B/A.

How does the shortcut method work for fx = 4x + 5?

In this case, using the shortcut method, the formula x - B/A gives the inverse function as (x - 5)/4.

What is the second example used in the video for finding the inverse function?

The second example is the function fx = 2x + 5/3x - 4.

What is the approach to solve the second example using the method shown in the video?

The method involves first assuming fx = y, then rearranging the equation, isolating x terms on one side and constant terms on the other, and finally solving for the inverse function.

What shortcut formula is used to solve the second example in the video?

The shortcut formula for the second example, which is of the form fx = Ax + B/Cx + D, is x - D/B / Cx - A.

How is the shortcut method applied to fx = 2x + 5/3x - 4?

By applying the shortcut formula, the inverse function is calculated as (4x + 5) / (3x - 2).

What other subjects are mentioned in the video for further help?

The video also mentions that assistance is available for subjects like physics, chemistry, and olympiad problems, through the 'Bimbel Excellent' channel.