Question 165333
Domain is simply "the range" of values 'x' can take.
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For your equation:
g(x)= (7x+4)/(x+4)
The ONLY values of x where it will be undefined is when the DENOMINATOR (x+4) is zero.  So, set it to zero and solve for x:
(x+4) = 0
x = -4
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So, the domain is ALL real numbers EXCEPT for -4.