First slide
Introduction to real valued functions
Question

Two functions f:RR,g:RR are defined as follows:

f(x)=0    (xrational)1     (xirrational)  ,g(x)=1      (xrational)     0         (xirrational)   then |(fog)(π)+(gof)(e)|=

 

Moderate
Solution

(fog)(π)+(gof)(e)=f[g(π)]+g[f(e)]

=f(0)+g(1)=01=1.

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