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 starts with the concept of inverse functions, illustrating the interchange of X and Y coordinates. The tutorial then covers function representation, emphasizing the use of Y instead of F of X for simplicity. Finally, it demonstrates the algebraic process to solve for the inverse function, providing a step-by-step guide to achieve the final inverse equation.

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 output value

• The inverse function

• The input value

When graphing, why is it often easier to use Y instead of F(X)?

• Y and F(X) are not equivalent

• Y is always positive

• Y is the input value

• Y is a simpler notation

What is the first algebraic step in finding the inverse of the function Y = 3X + 1?

• Divide both sides by 3

• Add 1 to both sides

• Subtract 1 from both sides

• Multiply both sides by 3

What is the final form of the inverse function for Y = 3X - 1?

• Y = X + 1 / 3

• Y = 3X + 1

• Y = 3X - 1

• Y = X - 1 / 3