Q. 174.4( 5 Votes )

Let f : R R : f(x) =x2 and g : C C: g(x) =x2, where C is the set of all complex numbers. Show that f ≠ g.

Answer :

It is given that f : R R and g : C C

Thus, Domain (f) = R and Domain (g) = C

We know that, Real numbers ≠ Complex Number

, Domain (f) ≠ Domain (g)

f(x) and g(x) are not equal functions

f ≠ g

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