Let f x - 1- if x is rational number 0- if x is an irrational number -be a function from R to R where R is the set of real numbers- Find f -7

Given that nbsp; f ( x )= {1, amp;if x is rational number 0, nbsp; nbsp; amp;if x is an irrational number nbsp;. Since, √(7) nbsp; ...

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Mathematical Statement

Let f x = 1...

Question

Let $f (x) = {\begin{matrix} 1, & i f x i s r a t i o n a l n u m b e r 0, & i f x i s a n i r r a t i o n a l n u m b e r \end{matrix}$
be a function from $R$ to $R$ where $R$ is the set of real numbers. Find $f (\sqrt{7})$

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