Two equal functions?

Algebra Level 2

True or False: The function f : R → R f : \mathbb{R} \to \mathbb{R} defined as f ( x ) = 3 x + 3 f(x) = 3x+3 for all x ∈ R x \in \mathbb{R} and the function g : R + → R g : \mathbb{R}^+ \to \mathbb{R} defined as g ( x ) = 3 x + 3 g(x) = 3x+3 for all x ∈ R + x \in \mathbb{R}^+ (that is, x x is a positive real) are identical.

True False

Aman Joshi by Aman Joshi , 18, India

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1 solution

Aman Joshi
Nov 3, 2017

False. Two functions are equal if their rules are equal and their domains are the same.

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