Question 1:
True or False. The two functions f and g defined by
f(x) = 3x + 3 for x real and g(t) = 3t + 3 for t real and positive are equal?

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

How did the question arrive to this answer?

Question

Question 1:
True or False. The two functions f and g defined by 
f(x) = 3x + 3 for x real and g(t) = 3t + 3 for t real and positive are equal? 

Answer : 
False. Two functions are equal if their rules are equal and their domains are the same.

How did the question arrive to this answer?

anonymous · Answer

The domains aren't the same. f(x) has for domain all x in the Reals, while g(t) is defined for t in the Reals and greater than 0. In mathematical notation:$$dom f = R$$

anonymous · Answer

Thanks! :)

anonymous · Answer

No problem :-)

anonymous · Answer

Minor correction$$domg = t > 0, t \in R$$