Inverse Functions and Linear Equations

This video is part of an Algebra 2 series focusing on inverse linear functions. The instructor reviews questions from previous lessons, solves the inverse of a linear function, evaluates it, and provides a physical interpretation. The video also covers finding the inverse of a general linear function. The instructor encourages viewer engagement through likes, comments, and subscriptions.

What is the main focus of this lesson?

• Inverse of quadratic functions

• Inverse of exponential functions

• Inverse of linear functions

• Inverse of logarithmic functions

What is the speed of the car mentioned in the problem?

• 58 miles per hour

• 60 miles per hour

• 55 miles per hour

• 50 miles per hour

In the equation y = 58x + 24, what does 'x' represent?

• Distance in miles

• Acceleration

• Time in hours

• Speed in miles per hour

What is the first step in finding the inverse of the function y = 58x + 24?

• Subtract 58 from both sides

• Switch x and y

• Multiply both sides by 58

• Add 24 to both sides

After switching x and y in the equation, what is the next step?

• Add 24 to both sides

• Multiply both sides by 58

• Subtract 24 from both sides

• Divide both sides by 58

What is the inverse function of y = 58x + 24?

• y = (x - 24) / 58

• y = (x + 24) / 58

• y = 58x - 24

• y = 58 / (x - 24)

What input is used to evaluate the inverse function?

• 203

• 58

• 227

• 24

What is the result of evaluating the inverse function with the input 227?

• 5.5

• 2.5

• 3.5

• 4.5

What does the output of 3.5 represent in the context of the problem?

• Speed of the car

• Time traveled in hours

• Distance traveled in miles

• Fuel consumption

In the inverse function, what does the input represent?

• Speed of the car

• Distance from Poughkeepsie

• Fuel efficiency

• Time traveled