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Home Q & A Board Science-Related Homework Help Mathematics
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gurjot kaur gurjot kaur
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4 years ago
 Give an example of two real functions f and g, each with domain R, and a point p ∈ R, such that f and g are discontinuous at p but f + g is continuous at p. (You need not prove anything.)
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4 years ago
Something like this > Let \(f\left(x\right)=\frac{1}{x}\) and \(g\left(x\right)=-\frac{1}{x}\), \(f\) and \(g\) are discontinuous at 0, but \(f\left(x\right)+g\left(x\right)=0\) so is continuous everywhere.
- Master of Science in Biology
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