SOLUTION: Find the domain of each function f(x)=____8____ 2x+3

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Question 193089: Find the domain of each function
f(x)=____8____
2x+3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since you CANNOT divide by zero, this means that we must take out values of x out of the domain that make the denominator 2x%2B3 equal to zero


2x%2B3=0 Set the denominator equal to zero.


2x=0-3 Subtract 3 from both sides.


2x=-3 Combine like terms on the right side.


x=-3%2F2 Divide both sides by 2 to isolate x.


So when x=-3%2F2 the denominator 2x%2B3 is zero.


So we must make the restriction that x%3C%3E-3%2F2


So the domain is x can be any real number BUT x%3C%3E-3%2F2