Final answer:
The correct answer is option b. x = -1.The only value not in the domain of f/g from the options provided is x = -1, because this value makes the denominator equal to zero.
Step-by-step explanation:
The correct answer is option b. x = -1.
The domain of f/g is the set of all real numbers except the values that make the denominator, g(x), equal to zero. To find the values that are not in the domain of f/g, we need to find the values of x that make g(x) equal to zero.
Setting g(x) = 0, we have (x - 5)(x + 1) = 0.
This equation has two solutions: x = 5 and x = -1.
Therefore, the values that are not in the domain of f/g are x = 5 (option a) and x = -1 (option b). The values x = 0 (option c) and x = 7 (option d) are in the domain of f/g because they make the denominator nonzero.