Question

Find all excluded values for the expression. That is, find all values of x for which the expression is undefined.

x+6/x² - 6x-27

Answer 1

The values of x for the expression is undefined is -3 or 9

Explanation:

Given function,

`f(x) = (X +\ 6)/(X^2 - 6X-27)`

The values of x for which the expression is undefined is obtained when the denominator is equal to zero, from the expression it is given by;

x² - 6x - 27 = 0

Factorize the equation

x² + 3x - 9x - 27 = 0

x (x + 3) -9(x + 3) = 0

(x + 3)(x - 9) = 0

x = -3 or x = 9

Therefore, the values of x for the expression is undefined is -3 or 9