Inverse Functions (6.2)

Question 1

What makes a function one-to-one?

Answer 1

For every input, there is only one output

Question 2

How do you find out if a function is one-to-one?

Answer 2

Horizontal line test

Question 3

What makes a function such that f(g(x)) = g(f(x)) = x?

Answer 3

It is true if the function is one-to-one

Question 4

How do you find the inverse of an equation?

Answer 4

1. Replace f with y
2. Swap x and y
3. Solve for y
4. Replace y with f^-1