Question

Find the domain of the following function: f(x) = 1 / (x² - 4):

A. x < -2 or x > 2
B. x < -2 and x > 2
C. x ≠ -2 and x ≠ 2
D. x ≠ -2 or x ≠ 2

Answer 1

The domain of the function f(x) = 1 / (x² - 4) is x ≠ -2 and x ≠ 2.

Step-by-step explanation:

To find the domain of the function f(x) = 1 / (x² - 4), we need to determine the values of x that make the denominator equal to zero. In this case, the denominator is x² - 4.

Set the denominator equal to zero and solve for x:

x² - 4 = 0

(x - 2)(x + 2) = 0

x = 2 or x = -2

Therefore, the domain of the function is all real numbers except x = 2 and x = -2. This can be written as x ≠ -2 and x ≠ 2 (option C).