SOLUTION: Dear Tutor, I'm not sure if I have stated this correct for this problem. Direction is state the domain of the given function. f(x)= 1/x+2 I put x not= -2

Question 193816This question is from textbook Basic Technical Mathematics
: Dear Tutor,
I'm not sure if I have stated this correct for this problem.
Direction is state the domain of the given function.
f(x)= 1/x+2
I put x not= -2 This question is from textbook Basic Technical Mathematics

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Presuming that your function is:

rather than:

you are almost correct. What you did is express a restriction on the value of the variable, i.e. you told us what x is not, whereas the domain needs to be an expression of what x can be. The difference is subtle, but important.

There are two commonly accepted ways of doing this. First, set builder notation:

Which reads, "the set of all x such that x is an element of the set of real numbers and x is not equal to -2."

Or you can use interval notation:

to say that the domain is the union of the two intervals from minus infinity to -2 (not inclusive) and -2 (not inclusive) to infinity.

John

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