#1**+3 **

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....

ElectricPavlov
Jan 14, 2018

#3**+2 **

The question asks what is the minumum value in the domain of (g+f)(x) : -14

The domain is -14 -13 -12 -11 Cool?

ElectricPavlov
Jan 14, 2018

#4**+2 **

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 .

hectictar
Jan 15, 2018