Find the domain and range of f(x)=-2x+|3sinx|

Question

anonymous · Answer

well i need your help to sole this question? will u?

anonymous · Answer

of course :)

anonymous · Answer

good.. now tell me is there any value of x which if u put in the f(x) will make it undefined?

anonymous · Answer

0?

anonymous · Answer

why? do u have a reason to validate your point?

anonymous · Answer

If you plug 0 in for x it makes the equation = 0

anonymous · Answer

what is the problem in that? 0 is a well known number & it is not undefined..
any else no. which can make the equation undefined i mean that is not in the realm of real numbers?

anonymous · Answer

Well ... our domain is
$$(-\infty,\infty)$$

you can think upon why..

anonymous · Answer

and the range is the same

anonymous · Answer

now we come to range.. that may smell a bit complicated but it is not at least in this question..
it is again
$$(-\infty,\infty)$$
 you can imagine if u put a very small number in this equation u will get a large no. in return..& vice versa..
think upon it...