Question 879288
I'm assuming the equation is {{{y = 4/(2x+7)}}}


If so, then set the denominator equal to zero to get {{{2x+7=0}}} and solve for x to get {{{x = -7/2}}}


This x value of {{{x = -7/2}}} makes the denominator equal to zero.


You CANNOT divide by zero. It is undefined.


So to avoid division by zero, we must restrict that x cannot equal {{{-7/2}}}. So we say {{{x <> -7/2}}}


Any other real number works for x.


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Answer:


The domain is the set of real numbers but {{{x <> -7/2}}}