Find the Domain and Range of the Function $$f ( x ) = 3 x + \sin x$$

Find the domain and range of the function.
- $$f ( x ) = 3 x + \sin x$$

A) Domain: $( - \infty , \infty )$ ; range: $[ - 1,1 ]$
B) Domain: $[ 0,3 ]$ ; range: $( - \infty , \infty )$
C) Domain: $[ - 1,1 ]$ ; range: $[ - 3,3 ]$
D) Domain: $( - \infty , \infty )$ ; range: $( - \infty , \infty )$

Correct Answer:

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