Question

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

Answer 1

x ≠ -2 or 3

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 }.