Find the domain of the function

[dulce18]

f(x)= 2x

 

[Mrspi]

f(x)= 2x

The domain of a function is the set of all permissible "input" values....in other words, the set of all numbers that can be used in place of x.

f(x) = 2x

tells us that to produce an output called f(x), we need to take the input value x, and multiply it by 2.

Is it possible to multiply ANY real number by 2? I think so. The domain, then, is the set of all real numbers.

 

[lookagain]

f(x)= 2x

Is it possible to multiply ANY real number by 2,
I think so, the domain, then, is the set of all Real numbers.

Edit

For f(x) = 2x, because two times an input of any Real number

produces only outputs of Real numbers,
----------------------------------------------

then the domain is the set of Real numbers.


I stated this last point just above as a definitive to remove doubt, as opposed to the
nondefinitive "I think so."

 

[Mrspi]

f(x)= 2x

The \(\displaystyle (Real)\) domain of a function is the set of all permissible "input" values....in other words,
the set of all \(\displaystyle Real\) numbers that can be used in place of x.

f(x) = 2x

tells us that to produce a \(\displaystyle Real\) output, called f(x), we need to take the \(\displaystyle Real\)
input value x, and multiply it by 2.

Is it possible to multiply ANY real number by 2, \(\displaystyle and \ produce \ a \ Real \ number?\)
I think so, \(\displaystyle and \ if \ true,\) the domain, then, is the set of all Real numbers.

I would make the above clarifications.

You are certainly free to phrase YOUR responses in the form YOU think correct. It seems to ME that you're just trying to stir things up.