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Function Inverses
Domain of Inverse Function

Practice problem

Domain of Inverse Function

Graph of (1/x)-1 and 1/(x+1) — made using Desmos

The functions graphed above are inverses. What is the domain and range of the green function?

Choose all correct answers

Option A: A

Domain: $(-\infty, 0)\cup(0, \infty)$

Option B: B

Domain: $(-\infty, -1)\cup(-1, \infty)$

Option C: C

Range: $(-\infty, 0)\cup(0, \infty)$

Option D: D

Range: $(-\infty, -1)\cup(-1, \infty)$

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