Answer: The correct option is 'The domain of both functions is all real numbers'.
Step-by-step explanation:
Here, functions are f(x) = 5x and g(x) =5x
Since the domain of f(x) is, D= { x : x belongs to all real numbers.}
Therefore, Domain of f(x) is all real numbers.
Since f(x) and g(x) have the same value,
Therefore, Domain of g(x) is also the set of real numbers.
Now, range of f(x) is , R= { 5x : x belongs to all real numbers.}
Therefore, Range of f(x) is all real numbers.
⇒ Range of g(x) is also all real numbers.
So, we can say by the above explanation, only option (1) is correct.