Use the inverse of a function to determine the domain and range

The video tutorial explains the process of solving equations by replacing F of X with Y, swapping variables, and solving for Y using inverse operations. It covers finding the domain and range of functions and concludes with graphing to verify solutions.

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

• Swap Y with Z

• Multiply by the reciprocal

• Replace F of X with Y

• Find the domain

When solving for Y, why do we prefer multiplying by the reciprocal instead of dividing by fractions?

• It simplifies the calculation

• It is more accurate

• It avoids complex numbers

• It is a faster method

What is the domain of the original function if you cannot divide by zero or take the square root of a negative number?

• Only integers

• All real numbers

• All negative numbers

• All positive numbers

What does the range of the original function correspond to in the inverse function?

• The range of the inverse function

• The domain of the inverse function

• The inverse of the domain

• The inverse of the range

What is the final step before graphing the functions to verify the inverse?

• Replace Y with F of X

• Find the range of the inverse

• Swap X and Y again

• Calculate the slope