Question

Which inequality can be used to find the domain of f(x) for the function f(x) = IX - va x-11 + 3?

a) 30 < x < 20
b) 3x - 10 < 20
c) 1 < 5% - 10 + 320
d) None of the above

Answer 1

The domain of the function f(x) = |x - 11 + 3| is x ≥ 8.

Step-by-step explanation:

To find the domain of the function f(x) = |x - 11 + 3|, we need to determine the set of x-values that are valid inputs for the function. Since we have an absolute value function, we want to find the values of x that make the expression inside the absolute value bars positive or zero. In this case, the expression x - 11 + 3 is positive or zero when x is greater than or equal to 8. Therefore, the domain of f(x) is x ≥ 8.