given f(x)=4-2/x find domain having trouble with domain can you explain?

Answer 1

The domain is all values of x that can be used. For example you could use 2

f(2)=4-2/2 = 3

That works nicely. So 2 would be in the domain. So all the numbers that work in the domain. But try 0:

f(0)=4-2/0 --> you can't divide 2 by zero, its not possible. It would not have an answer (some people say it equals infinity)

So the domain is all numbers apart from zero.

This can be written as x≠0.


(You can also say x belongs to the group "real numbers", by writing x∈ℝ, but that might not be necessary for your question)

Answer 2

The domain consists of all real numbers except 0. f(x) is undefined for x=0 because you cannot divide by 0.

Answer 3

Domain means to find the values x can be. In this case, x can be any number except zero because you cannot divide by zero.

D={x:x does not equal 0}