Let f(x) = 1/x+2 and g (x) = 1/x-3. Find (f/g) (x). Assume all appropriate restrictions to the domain. help

  x ≠ -2 or 3

Step-by-step explanation:

No denominator can be zero, so ...

  x +2 ≠ 0

  x ≠ -2

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  x -3 ≠ 0

  x ≠ 3

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  g(x) ≠ 0 . . . . . true for all x; no restriction needed for this

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The appropriate restrictions are x ∉ { -2, 3 }.

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step-by-step explanation: