Answer:
Hence, the values of x for which the expression is not defined is equal to 1 or -1.
Step-by-step explanation:
We are asked to find for which values of x is the rational expression:
[tex]\dfrac{x+5}{3x^2-3}[/tex] is undefined.
We know that a rational expression is undefined when the denominator term is equal to zero.
Hence, we could represent the algebraic expression as:
[tex]\dfrac{x+5}{3x^2-3}=\dfrac{x+5}{3(x^2-1)}\\\\\dfrac{x+5}{3x^2-3}=\dfrac{x+5}{3(x-1)(x+1)}[/tex]
Hence, clearly from the expression we could observe that:
the expression is not defined when x=1 or x=-1.
( since the denominator will be zero if x receives any of the above two values or both)
Hence, the values of x for which the expression is not defined is equal to 1 or -1.
