How do you find inverses

Question

Zachary Huynh

Mathematics

4 November, 13:03

How do you find inverses

+2

Answers (2)

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Meadow Sloan · 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.

Nikolas Dorsey · 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.