Question:
Let f : R → R and g : C → C be two functions defined as f(x) = x2 and g(x) = x2. Are they equal functions?
Solution:
It is given that
f : R → R and g : C → C are two function defined as f (x) = x2 and g (x) = x2 .
Thus,
domain ( f ) = R and domain ( g ) = C .
Since, domain ( f ) ≠ domain ( g ),
f (x) and g (x) are not equal functions.
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