+36915 The first one has a domain of
-14 -13 -12 -11 -10 -9 ......etc
The SECOND one has a domain of
-11 -12 -13 -14 -15 -16.....
The common numbers (in color) define the new domain after adding the functions....the minimum is -14 that will satisfy both of the domain restrictions given....
+36915 The question asks what is the minumum value in the domain of (g+f)(x) : -14
The domain is -14 -13 -12 -11 Cool?
+9465 Whatever x value we choose to plug in to (g + f)(x) has to be in the domain of both g(x) and f(x) .
For instance, we can't find g(1) + f(1) because we can't find g(1) .
The domain of g + f is all real x values such that x ≥ -14 and x ≤ -11
The domain of g + f is all real x values such that -14 ≤ x ≤ -11
The minimum value in that domain is -14 .
