How do you find inverses

Question

Mathematics

Carmelo Stephens

20 January, 17:53

How do you find inverses

+3

Answers (2)

Know the Answer?

Cloe · Answer 1

How To Find Inverses:

1. First, replace f (x) with y ...

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y ...

4. Replace y with f-1 (x) f - 1 (x) ...

5. Verify your work by checking that (f∘f-1) (x) = x (f ∘ f - 1) (x) = x and (f-1∘f) (x) = x (f - 1 ∘ f) (x) = x are both true.

Alana Haas · Answer 2

1. First, replace f (x) with y ...

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y ...

4. Replace y with f-1 (x) f - 1 (x) ...

5. Verify your work by checking that (f∘f-1) (x) = x (f ∘ f - 1) (x) = x and (f-1∘f) (x) = x (f - 1 ∘ f) (x) = x are both true.