Exam Review Find the inverse of a function algebraically

The video tutorial explains how to find the inverse of a function both graphically and algebraically. It begins with replacing f(x) with y and discusses the graphical relationship between a function and its inverse, highlighting the reflection about the line y = x. The tutorial then covers algebraic manipulation by swapping variables and solving for y using inverse operations, emphasizing the correct order of operations. Finally, it discusses inverse notation and naming conventions, such as using g(x) instead of f inverse.

What is the first step in understanding the relationship between a function and its inverse graphically?

• Swap the x and y coordinates

• Replace y with f(x)

• Multiply the function by -1

• Reflect the graph over the x-axis

When solving for y in an inverse function, what is a common mistake students make?

• Multiplying instead of dividing

• Ignoring the order of operations

• Not swapping the variables

• Adding instead of subtracting

What should you do first when solving for y in the inverse function?

• Divide by 7

• Subtract 8

• Add 8

• Multiply by 7

In the context of inverse functions, what does the notation g(x) represent?

• A derivative of the function

• A constant function

• The inverse function

• The original function

Which of the following is NOT a possible notation for an inverse function?

• f inverse

• g of x

• h of x

• f squared