Q. 94.4( 5 Votes )

Let f : R R and g : C C be two functions defined as f(x) = x2 and g(x) = x2. Are they equal functions?

Answer :

Given f : R R f(x) = x2 and g : R R g(x) = x2


As f is defined from R to R, the domain of f = R.


As g is defined from C to C, the domain of g = C.


Two functions are equal only when the domain and codomain of both the functions are equal.


In this case, the domain of f ≠ domain of g.


Thus, f and g are not equal functions.


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