How to find the inverse of a linear function

The video tutorial explains how to find the inverse of a function by interchanging input and output values. It covers the process of switching X and Y coordinates, using algebraic methods to solve for the inverse, and the importance of understanding the relationship between Y and F of X in graphing. The tutorial provides a step-by-step guide to finding the inverse of a given function, emphasizing the algebraic manipulation required to achieve this.

What is the primary action taken to find the inverse of a function?

• Multiply the input and output values

• Add a constant to the function

• Swap the input and output values

• Divide the function by a constant

In function notation, what does 'f(x)' typically represent?

• The constant term

• The inverse function

• The output value

• The input value

When graphing, why is 'y' often used instead of 'f(x)'?

• Because 'y' is more visually appealing

• Because 'y' is easier to spell

• Because 'y' aligns with the y-axis on graphs

• Because 'y' is a more complex notation

What is the first algebraic step in finding the inverse of a function?

• Multiply both sides by 2

• Interchange x and y values

• Add 5 to both sides

• Square both sides

What is the final form of the inverse function derived in the video?

• y = x + 1 / 3

• y = 3x + 1

• y = 3x - 1

• y = x - 1 / 3