1.

Find the domain of the function, f(x) = log |x|.

Answer»

log x function has domain R+

When x is replaced by |x|, the function f shows value as 

f(x) = log(x); x>0 

= log(-x); x<0 

Hence in the function x cannot be zero as log function is not defined for x = 0. 

Domain of f(x) is R – {0}



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