Explain why f(x) = x^2-x-6/x^2-9 is continuous at x = 2. a. f is defined at x = 3
b. f is not defined at x = 2
c. f is defined at x = -3
d. f is defined at x = 2

The correct answer is option D. ( is defined at )

The rational Function is continuous at a given value if its Denominator is not zero. In this exercise, we proceed to Factor the expression by check the value Denominator for each value of .

As we can see, is not defined for and . Hence, we conclude that right answer is D.

Here is a related question: link

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168