Question 193089
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+3}}} equal to zero



{{{2x+3=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=-3/2}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



So when {{{x=-3/2}}} the denominator {{{2x+3}}} is zero.



So we must make the restriction that {{{x<>-3/2}}}



So the domain is x can be any real number BUT {{{x<>-3/2}}}