Let f be a continuous function defined on (a, b). Supposed f(x)=0 for all rational numbers x in (a, b). Prove that f(x)=0 on (a, b).(adsbygoogle = window.adsbygoogle || []).push({});

i dont even know where to start...any tips just to point me in the right direction?

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# Real analysis: show that a continuous function is defined for irrationals

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