Question

help!!
help me find the domain of the following
f(x)=|x|
f(x)=(4-5x)^-1/2
f(x)=1/x+|x|
f(x)=sqrt(x-2/x-4)

Answer 1

Alright we know the domain is the range of x values that exist so

we plug in to the graphing calculator f(x)=|x| and we get this

Answer 2

yes....

Answer 3

So all values of the domain exist so we put the notation as
\[Domain=(-\infty,\infty)\]

Answer 4

But what if you have something like f(x)=x/x+|x|

Then we get something like this