Consider the function and its inverse. f(x) = x2 + 4 and f(x) = -x - 4
When comparing the functions using the equations, which conclusion can be made?
The domain of f(x) is restricted to x = 0, and the domain off?(x) is restricted to xz0.
O The domain of f(x) is restricted to xz 0, and the domain off+(x) is restricted to xs 0.
O The domain of f(x) is restricted to xs 0, and the domain of f'(x) is restricted to x2 4.
O The domain of f(x) is restricted to x s 0, and the domain off-+(x) is restricted to x s 4.

Among the four choices, is the only one that is not a linear factor of this polynomial function.

Step-by-step explanation:

Let denote some constant. A linear factor of the form is a factor of a polynomial if and only if (that is: replacing all in the polynomial with the constant would give this polynomial a value of .)

For example, in the second linear factor , the value of the constant is . Verify that the value of is indeed . (In other words, replacing all in the polynomial with the constant should give this polynomial a value of .)

.

Hence, is indeed a linear factor of polynomial .

Similarly, it could be verified that and are also linear factors of this polynomial function.

Rewrite the first linear factor in the form for some constant : , where .

Calculate the value of .

.

implies that (which is equivalent to ) isn't a linear factor of this polynomial function.