SOLUTION: Find the domain of the function g(x)=8 'over' 2-3x I'm so lost...Thank you in advance!!

Question 286185: Find the domain of the function g(x)=8 'over' 2-3x
I'm so lost...Thank you in advance!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Reminder: The domain is the set of all allowable inputs. You can think of this as the set of all possible 'x' values (that produce some number as an output).

Remember that you CANNOT divide by zero. So if the denominator , then (solve for 'x'). This means that if , then .

In other words, if , then the denominator is zero (which is not allowed). So we must exclude this value from the domain. Since there are no other values that make the denominator zero, this means that the only value to exclude from the domain is

So the domain is the set of all real numbers except

We denote this in interval notation as

Basically, this is the interval

with the number taken out of it.
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