How do you find the domain of # f(x)=x+2 #?
There is no real value of
Thus , the Domain of this Function is set of all Real Numbers.
Moreover, this is the equation of a straight line having Gradient = 1 with
To find the domain of a function you have to look for the largest subset of all real numbers for which the function is defined.
Usually to find the domain you think of all values excluded from it (this is the values of
the zeros of the denominators,
values for which the expressions under square root sign are negative,
values for which the expressions under logarythm sign are negative.
In the given function there are NO such exclusions, so the domain is the whole set of real numbers: