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tia_tia [17]
2 years ago
13

For what values of x is the rational expression below undefined? x+5/3x^2-3

Mathematics
2 answers:
Goryan [66]2 years ago
8 0
Undefined at the x- intercepts, +1 and -1. (apex)
FinnZ [79.3K]2 years ago
4 0

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:

\dfrac{x+5}{3x^2-3} 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:

\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)}

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.

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