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Let f: R → R and g: C → C be two functions defined as f(x) = x2 and g(x) = x2. Are they equal functions?
Let f: R → R and g: C → C be two functions defined as f(x) = x2 and g(x) = x2. Are they equal functions?
CBSE | Class 11 | Exercise 3.1 | Functions | Maths | RD Sharma
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:

f: R → R ∈ f(x) = x2

g : R → C ∈ g(x) = x2

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

So, the domain of f ≠ domain of g.

∴ f and g are not equal functions.

i

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