Find all values of x algebraically for which the algebraic expression is not defined. X/x^2-16

Answer 1

If I'm reading your question correctly- find the values of x that make the expression undefined- for which there are two.

To make this undefined, the numerator would have to be divided by zero-

For all values of x^2 that yield (x^2)-16 = 0 that would be undefined.

x = -4 or 4 (the absolute value of 4)

Answer 2

Assuming x² - 16 is in the denominator, the expression is undefined if and only if x² - 16 = 0, i.e., x² = 16. Taking square roots, x = -4, 4.