Question

Find the excluded value(s) of the rational expression . 1. Set the denominator equal to 0. 3x2 48 = 0 2. Solve for x. 3x2 = 48 x2 = 16 What value(s) for x will make the rational expression undefined? a 16 b 4 c 2, 3 d 0

Answer 1

Answer:

b 4

Step-by-step explanation:

The function becomes undefined when the denominator goes to 0

3x² - 48 = 0

3x² = 48

x² = 16

x = +/ 4

From the given choices, it's x = 4

Answer 2

Answer:

B. 4

Step-by-step explanation:

We have the equation x^2 = 16 and we want to solve for x.

Square root both sides:

$\sqrt{x^2} =\sqrt{16}$

x = +/- 4

A rational expression is considered undefined when the denominator is equal to 0 (in other words, we get something like k/0, which is undefined). Here, the because $3x^2-48=0$ when x = 4, then the answer is B.

Hope this helps!