# Suppose f: R -> R is a continuous function with the property that f(x) = 0 for every x in Q. Prove that f(x) = 0 for every x in R. (R = real numbers and Q = rational numbers).

Suppose f: R -&gt; R is a continuous function with the property

that f(x) = 0 for every x in Q. Prove that f(x) = 0 for every x in R. (R = real numbers and Q = rational numbers).

Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code “Newclient”

The post Suppose f: R -> R is a continuous function with the property that f(x) = 0 for every x in Q. Prove that f(x) = 0 for every x in R. (R = real numbers and Q = rational numbers). appeared first on Superb Professors.