Learn how to find inverse of a function and determine if the inverse is a function or not

The video tutorial guides students through the process of finding the inverse of a function. It begins by replacing F of X with Y, then swapping X and Y variables. The instructor solves for Y, addressing common student concerns about fractions by explaining how to eliminate them. Finally, the inverse function is rewritten, and both the original and inverse functions are verified to ensure they produce a single output for each input, confirming they are indeed functions.

What is the first step in solving a function problem as described in the video?

• Multiply by the reciprocal

• Solve for the variable

• Swap X and Y variables

• Replace F(x) with Y

How can you eliminate a fraction in an equation?

• Subtract the denominator from both sides

• Divide by the numerator

• Multiply by the reciprocal

• Add the numerator to both sides

What is the result of multiplying 0 by 1/6 in the context of the function?

• 1

• Undefined

• 6

• 0

What confirms that both the function and its inverse are valid functions?

• They are undefined for some inputs

• They have a single output for each input

• They have multiple outputs for each input

• They have no outputs

What is the inverse of the function y = 6x?

• y = x/6

• y = 6/x

• y = 1/6x

• y = 6x