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What is the inverse of the function shown in this image?

What is the inverse of the function shown in this image?-example-1
User Anabella
by
5.3k points

2 Answers

2 votes

Answer:

D

Explanation:

User Jan Chrbolka
by
4.9k points
1 vote

Answer:

D

Explanation:

1. Replace "f(x)" with "y:" y = (x + 1)/x

2. Interchange x and y: x = (y + 1)/y

3. Solve this result for y: 1

xy = y + 1, or xy - y = 1, or y(x -1) = 1, or y = --------

x-1

4. Replace "y" with:

-1 x

f (x) = ----------- This matches answer choice D.

x - 1

User Fernando Tholl
by
5.5k points