Final Answer:
The values of x that are not in the domain of G are x=-7, x=3, and x=40.
Step-by-step explanation:
The function G is defined as G(x) = (x-7)/(x2 - 3x - 40). The domain of a function is the set of all values for which the function is defined. In order to find the values of x that are not in the domain of G, the values of x for which G(x) is undefined or not existent must be identified.
To do this, G(x) must first be simplified. The denominator of G(x) can be factored into (x + 7)(x - 40). Thus, G(x) can be rewritten as G(x) = (x - 7)/(x + 7)(x - 40). For G(x) to be defined, the denominator must not equal zero. Therefore, the values of x that are not in the domain of G are when x = -7, x = 3, and x = 40, since when any of these values are substituted for x, the denominator of G(x) will equal zero.
It is important to note that when finding the values of x that are not in the domain of a function, the denominator must equal zero. Also, when factoring the denominator, all factors must be identified in order to correctly identify the values of x that are not in the domain of the function.