Question

Let f(x) = 6x - 1 for x < -1, f(x) = 8x - 1 for -1 ≤ x ≤ 12, and f(x) = 12 for x > 12. What is the function f(x)?

Answer 1

The function f(x) is defined as 6x - 1 for x < -1, 8x - 1 for -1 ≤ x ≤ 12, and 12 for x > 12. The probability P(0 < x < 12) is equal to 0.

Step-by-step explanation:

The function f(x) can be defined as follows:

For x < -1, f(x) = 6x - 1

For -1 ≤ x ≤ 12, f(x) = 8x - 1

For x > 12, f(x) = 12

To find P(0 < x < 12), we need to determine the range of values for x where the function is defined as f(x) = 12. We know that the function is defined as f(x) = 12 for x > 12. Therefore, the range of x values where f(x) = 12 is x > 12. Since the question asks for the probability of 0 < x < 12, there are no values of x in this range where f(x) = 12. Therefore, P(0 < x < 12) = 0.