Domain of g(x) = [tex]\frac{x+6}{2}[/tex] is all real numbers .
Step-by-step explanation:
a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
We know , that the domain of definition (or simply the domain) of a function is the set of all "input" or argument values for which the function is defined. This implies that the function provides an "output" or value for each member of the domain. Basically domain of a function is all the values of x we have for which function is defined in a particular range . Here we have g(x) = [tex]\frac{x+6}{2}[/tex] . In this function we see that term x is in numerator so any value it can attain and so, Domain of g(x) = [tex]\frac{x+6}{2}[/tex] is all real numbers .
