RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 3. Functions

Subject: - Class 11th

Q. No. 17 of Exercise 3A

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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.

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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