Question

(f(x)=(x+1)^2) Determine for each x value whether it is in the domain of f or not: -2, -1, and 9.

(a) -2: In domain, -1: In domain, 9: In domain
(b) -2: Not in domain, -1: Not in domain, 9: Not in domain
(c) -2: In domain, -1: Not in domain, 9: In domain
(d) -2: Not in domain, -1: In domain, 9: Not in domain

Answer 1

The function f(x) is a polynomial and hence defined for all real numbers. Consequently, -2, -1, and 9 are all in the domain of f(x), meaning the function is defined at these x values.

Step-by-step explanation:

The question asks to determine whether the given x values are in the domain of the function f(x)=(x+1)^2. The domain of a function is the set of all possible input values (x values) for which the function is defined. Since f(x) is a polynomial function, it is defined for all real numbers. Therefore, for each x value given, namely -2, -1, and 9, the function is defined and they are all part of the domain of f(x). The correct answer is: (a) -2: In domain, -1: In domain, 9: In domain.