Understanding Inverse Functions

The video tutorial explains inverse functions, highlighting that a function and its inverse undo each other. It provides examples of function mappings and their inverses, such as F(1)=9 and F inverse(9)=1. The tutorial also covers specific function rules, like G(x)=2x and its inverse G inverse(x)=x/2, illustrating how operations like doubling and halving are inverses. Finally, it emphasizes that only one-to-one functions have inverses.

What is the relationship between a function and its inverse?

• They are the same function.

• They are unrelated.

• They undo each other.

• They multiply each other.

If F(1) = 9, what is F inverse of 9?

• 9

• 1

• 0

• Cannot be determined

What is the inverse of the function G(x) = 2x?

• G inverse(x) = x / 2

• G inverse(x) = 2x

• G inverse(x) = x + 2

• G inverse(x) = x - 2

Which operation undoes cubing a number?

• Cube rooting

• Squaring

• Doubling

• Halving

Which type of functions have inverse functions?

• Only quadratic functions

• Only one-to-one functions

• Only linear functions

• All functions