Specify the domain of the function y = √x-8 + √x-3

The scope of the function is all valid values of the argument (variable).

y = (x – 8) ^ (1/2) + (x – 3) ^ (1/2).

The function is the sum of the square roots under which the variable is located.

The radical expression can only take non-negative values, which means that we will compose and solve a system of two inequalities:

x – 8> = 0;

x – 3> = 0;

x> = 8;

x> = 3;

Intersection of many:

x> = 8 – function domain.