SOLUTION: State the domain of the following: g(x)=2x+1/x-3

Question 107683: State the domain of the following:

g(x)=2x+1/x-3

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
a "function" must be which means "one and only one"; to each value of there is a value of .
The values that may assume are called the of the function, and those are the values for which the function is .
In the function , the may include

; consequently, could be

.
But, there is case in which the domain be restricted, and that is the case when a denominator

.
So, in this function a denominator may not be equal to because to divide by doesn�t make a sense.
Let set it equal to in order to find what may not be in a domain:

Solution:
In a domain could be all other real numbers except .
Domain: (, ] and [,)

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