real analysis, show all work/steps. Suppose h is continous on R and h(q)=0 for every rational number q. Does it follow that h(x)=0 for all x ∈ R? Justify your answer

PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter7: The Properties Of Real Numbers
Section: Chapter Questions
Problem 408PT: PRACTICE TEST 408. From the numbers -4, 1^, 0, J-, V2, 7, which are (a) integers (b) rational (c)...
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real analysis, show all work/steps.

Suppose h is continous on R and h(q)=0 for every rational number q. Does it follow that h(x)=0 for all x ∈ R? Justify your answer

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