Answer:
x = - 9 , 6
Step-by-step explanation:
The given function is
[tex]h(x) = \frac{x - 8}{x^{2} + 3x - 54}[/tex]
⇒ [tex]h(x) = \frac{x - 8}{(x - 6)(x + 9)}[/tex]
Therefore, the value of h(x) will be undefined for the denominator equal to zero.
So, (x + 9)(x - 6) = 0
⇒ x = - 9 and x = 6
Therefore, the values of x which are not in domain of function h(x) are x = - 9 , 6. (Answer)
