Question

Find the domain of the function f (x) = 2/x-4 + 1/x+2

Answer 1

As written, the denominator in both fractions is x, so the only restriction on the domain is ... x ≠ 0.

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We suspect you intend ...

... f(x) = 2/(x-4) +1/(x+2)

which is undefined when x = 4 or x = -2.

The domain is all real numbers except -2 and 4.